{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DX Analytics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "uuid": "f087ed8b-b432-48a9-a791-451ac477c046"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import mpl, plt\n",
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "uuid": "1d45b83a-110e-4c94-9404-859554d3f2d7"
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../dx')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DX Frame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Risk-Neutral Discounting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "c10b29e3-bd0a-4c3f-83ea-234cc959fa5b"
   },
   "outputs": [],
   "source": [
    "dates = [dt.datetime(2020, 1, 1), dt.datetime(2020, 7, 1),\n",
    "         dt.datetime(2021, 1, 1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4986301369863014"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(dates[1] - dates[0]).days / 365."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5041095890410959"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(dates[2] - dates[1]).days / 365."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "6ae9c451-fdf0-41b0-9b4e-89f57c2bcc3c"
   },
   "outputs": [],
   "source": [
    "fractions = [0.0, 0.5, 1.0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from get_year_deltas import get_year_deltas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.49863014, 1.00273973])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_year_deltas(dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "278721fb-d9a8-4270-a7d5-62f85cff52f0"
   },
   "outputs": [],
   "source": [
    "from constant_short_rate import constant_short_rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "ed812d8b-0e9d-47ab-8793-4bede4dfaf36"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "1ebd8c12-ee83-46cd-a0b6-7439aa8756b4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[datetime.datetime(2020, 1, 1, 0, 0), 0.9510991280247174],\n",
       "       [datetime.datetime(2020, 7, 1, 0, 0), 0.9753767163648953],\n",
       "       [datetime.datetime(2021, 1, 1, 0, 0), 1.0]], dtype=object)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "csr.get_discount_factors(dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.49863014, 1.00273973])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deltas = get_year_deltas(dates)\n",
    "deltas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "c545e941-ad55-4975-abdd-2071c0453b0a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.95109913],\n",
       "       [0.49863014, 0.97537672],\n",
       "       [1.00273973, 1.        ]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "csr.get_discount_factors(deltas, dtobjects=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Market Environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from market_environment import market_environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "uuid": "455e1e9e-45be-4c74-b2d3-5dac6132d568"
   },
   "outputs": [],
   "source": [
    "me = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('initial_value', 36.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('volatility', 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('final_date', dt.datetime(2020, 12, 31))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('frequency', 'M')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "946be8e3-9d32-42ec-becf-7174d6d37cb7"
   },
   "outputs": [],
   "source": [
    "me.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.2"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "me.get_constant('volatility')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "me.get_curve('discount_curve').short_rate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DX Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sn_random_numbers import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-0.8044583 ,  0.32093155],\n",
       "        [-0.02548288,  0.64432383]],\n",
       "\n",
       "       [[-0.30079667,  0.38947455],\n",
       "        [-0.1074373 , -0.47998308]]])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn = sn_random_numbers((2, 2, 2), antithetic=False,\n",
    "                         moment_matching=False, fixed_seed=True)\n",
    "snrn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.045429"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.mean(), 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.451876"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.std(), 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-1.67972865,  0.81075283],\n",
       "        [ 0.04413963,  1.52641815]],\n",
       "\n",
       "       [[-0.56512826,  0.96243813],\n",
       "        [-0.13722505, -0.96166678]]])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn = sn_random_numbers((2, 2, 2), antithetic=False,\n",
    "                         moment_matching=True, fixed_seed=True)\n",
    "snrn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.0"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.mean(), 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(snrn.std(), 6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "5e40de07-230f-4e0a-b993-4081ec791fe7"
   },
   "outputs": [],
   "source": [
    "from dx_frame import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "b630a638-da9f-4084-9e2b-14b0e1565fd6"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "a49a07ca-f6e7-495e-acc1-edfb73b22edd"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2020, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')  \n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "520e0490-b29b-441e-a2f7-ae89fc87cf0f"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "uuid": "bac36a29-b2b5-4f62-b848-7cb6f382dc9b"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "f9193b81-e8d5-48ea-a86a-94a15a01022f"
   },
   "outputs": [],
   "source": [
    "from geometric_brownian_motion import geometric_brownian_motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "uuid": "a00112c1-422e-4140-83e9-1388bc660b11"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "uuid": "a6f31102-77b0-4076-a9d6-7a92f3ffdc5e"
   },
   "outputs": [],
   "source": [
    "gbm.generate_time_grid()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "uuid": "ac81750e-be2b-403b-8260-20822f5307a7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([datetime.datetime(2020, 1, 1, 0, 0),\n",
       "       datetime.datetime(2020, 1, 31, 0, 0),\n",
       "       datetime.datetime(2020, 2, 29, 0, 0),\n",
       "       datetime.datetime(2020, 3, 31, 0, 0),\n",
       "       datetime.datetime(2020, 4, 30, 0, 0),\n",
       "       datetime.datetime(2020, 5, 31, 0, 0),\n",
       "       datetime.datetime(2020, 6, 30, 0, 0),\n",
       "       datetime.datetime(2020, 7, 31, 0, 0),\n",
       "       datetime.datetime(2020, 8, 31, 0, 0),\n",
       "       datetime.datetime(2020, 9, 30, 0, 0),\n",
       "       datetime.datetime(2020, 10, 31, 0, 0),\n",
       "       datetime.datetime(2020, 11, 30, 0, 0),\n",
       "       datetime.datetime(2020, 12, 31, 0, 0)], dtype=object)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm.time_grid  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "a480cd1f-a793-476b-bdd2-a79b568a1872"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.4 ms, sys: 3.58 ms, total: 15 ms\n",
      "Wall time: 11.4 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_1 = gbm.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "aed54761-2093-409d-912a-fded6f76b418"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[36.   , 36.   , 36.   , ..., 36.   , 36.   , 36.   ],\n",
       "       [37.403, 38.12 , 34.4  , ..., 36.252, 35.084, 39.668],\n",
       "       [39.562, 42.335, 32.405, ..., 34.836, 33.637, 37.655],\n",
       "       ...,\n",
       "       [40.534, 33.506, 23.497, ..., 37.851, 30.122, 30.446],\n",
       "       [42.527, 36.995, 21.885, ..., 36.014, 30.907, 30.712],\n",
       "       [43.811, 37.876, 24.1  , ..., 36.263, 28.138, 29.038]])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paths_1.round(3)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "e6dfa29f-27df-4e30-ba44-7f784425d4d9"
   },
   "outputs": [],
   "source": [
    "gbm.update(volatility=0.5)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "uuid": "d1ec64b1-5f80-4c8b-b4ef-d1cbe2622d31"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 21 ms, sys: 2.39 ms, total: 23.4 ms\n",
      "Wall time: 6.36 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_2 = gbm.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "uuid": "48e79769-db06-4973-8e3a-a8933df14b1e"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rnXd606zZ0wzPXMFVo9HQs2cfBgzoQ8mSJTl16iQjR45j27Yt/nIcPvw7DzxQiffe601sbBzHj//N2bNnOH78GHXr1mPYsM306tWDl19umaW869evxel0MHfuTJKTk5BlH0OHDmTo0BFUrBjP2LEj8Xg81K//GCVLlqR06TLcdVdpdLrb/pYQBEEICP2WbwkdPhT97p+xLlwGGg3WeYGddCTkH0lR8m7x9cTE9KBnFqxFtf78MwG7PYMqVaqRnm6ladNGfPfdjwHPJ6/ZbDZCQ0Pp1Kk9I0aMuWKTYbGQXuCJOg0sUZ/BI+r25hlnfYqr2UsoRYuK+gyCPFhI85r9S6K5IZvOnj3N+PGjiY2N4+zZs3Tq9EZ+FykgBgx4F4/HQ4kSJa4IngRBEISc0SYcJmT1Cuz9BoEk4Xy9a34XSQgSEUBlU926Dahbt/ANsJ48+bP8LoIgCEKhoN/6HeEd26FJt+Ju0BDvQw/nd5GEIBLLGAiCIAjCTTIumEtEqxeRXE6s02aK4Ok2IFqgBEEQBCG3fD4sw97HPH0ycnQ0afOWiuDpNiFaoARBEAQhNzIyCH+1Debpk/GWjyXlq81XDZ6k1BTC3uwEJ0/mQyGFYBEBlCAIgiDkkObMaSKbPk3IxvW4H61H6vpvkMvec9VzQ75ah/F/y6BpU7Db87ikQrCIAEoQBEEQckB76CCRjR5Df3A/jlfakfb5KpTIK/dxldKtaP9MwNmqDY427eGXXwjr8Qbk4fJBQvCIAEoQBEEQsstuJ7LlC2jOnsH2/ofYPp4Mev1VTzXOmUnUozUxrPsC26jx8OijGL9YjXncqDwudCH0n91A8oMYRC4IgiAI2WU2k/7xZPB4cDd57rqneivF46lTF0+9+mAwwMqV+Go8iGXsR3jj7sP93PN5U+ZCSLfrZ7wP18rXMogWKEEQBEG4Hq8X88djkKxpALifevqGwROA57GGpK38EiU8Qj0QE0Pags+RLaGEd++K7uD+YJa6cFEU9Fu/83d/+srHgsORr0USAZQgCIIgXIdx0Xwso4ZjHjU8exc4HGjOnb3qU74KD5A+fRY4nYS3a3XN84SsLB8OIfLlZhjWfQGAEh0NJlO+lkkEUIIgCIJwHc62HcgYMBj7e+9n63zj4vkUqVEJw9cbrvq8u9EzZAwcivb0KcI7tAanM5DFLTx8Pv+PztZtcTVpirdqtXwsUFYigBIEQRCE/9Dt2YVx9gz1gVaLvWcflNCwG1/ocmGePBG0WjzVH7zmaY7u7+Bs3hL93j1YPsxeYHY70W/bStSjNdHt2QWAr1x5rHMWIt95Vz6X7BIxiFwQBEEQLhOydhVh3buC14u74VPIpe/O9rXGzxejPXMa+xvdUYoWvfaJkkT6+E9QjCYcb70dgFIXDlJiIqFD3sP4v2UoGg36vbvx1qiZ38W6KhFACYIgCAKAomCeNB7LyGHIoWFY5y3OUfCEx4P5k49RjEbsb/a48flGI7bxky499npBd5t+LMsyxiULsQwbjCY1FU/lqtjGT8IbXyW/S3ZNogtPEARBEFwuwnq8gWXkMHx33kXquk14HmuYoySMKz5He+JfHG3aoxQvnqNrdXt2EfVIDbS//Zqj6woD7eE/iHyuEWG9uoPXR/rIMaRu/K5AB08gWqAEQRCE25yUnET4q20w/LQDT7XqpM3/PMcBEF4v5onjUAwGHN3eyXEZNGfOoD3xL7qD+/E9UDHH19+S7HYsH4/BNO0TJK8XV5Om2EaMRi5ZKr9Lli0igBIEQRBuW9q/jxLeujm6v//C9WwzrJM/BbM5x+mErP4f2uPHcLR7DbnUHTm+3v1sU5Ljf0G+u0yOr70V6X/cTliPN9H+exzfnXdhGzUO95NP53exckR04QmCIAi3Jf2P24l8+nF0f/+F/e13sc6cl6vgCZ9PbX3S6bD36Jnr8viDJ4+HkOVLC/eeebKM5vRJ7G/2IPmHXbdc8ASiBUoQBEG4DWnOnSWi5Qvg82GdNA1Xqza5Titk3Vp0R/7E0apNzgadX4NlyHuYZ32GLTkJR9duN51egSDLGOfPwf3Ek8h3lcZTpy7Juw8i33Fnfpcs10QLlCAIgnDbkYuXwDbsI9KWr7mp4AnAOH8OikaD/e13A1I2R/ee+IqXwDJ0EIbNmwKSZn4zfL2BsH69sIwY6j92KwdPIAIoQRAE4XbhcGD6ZIK6XADg7NARzyOP3nSyaQs+x7pgKfI99950WgByyVJY5y8BvZ6wzq+h/TMhIOnmuYwMJFs6kLn6+oDB2D74KJ8LFTgigBIEQRBuC5ZxowgdPgTTrE8Dm3BoaMDH8Hir1SB94lQ06VYi2ryMlJwU0PSDzbBpA0UerYnlwyHqAUlSV3PP6ezGAkwEUIIgCMJtwd6zNxnv9sPxaqeApKffvg3jnJlB28vO9eLLZLzTG+3xY4R36gAeT1DyCSTN6VOEv9qGiDYt0Jw7ixwVVWgHw4tB5IIgCMHk8xHavze6X/bgrVgJb6V4vBUr46tYMXt7qwk3Rf/dt0gOB+7Gz6KEhmHvNzBgaZs/HoNh+zY8D9UK2tpN9v6D0CUcJmTDOkIH9sU2ZkJQ8rlpPh+mOTMwj/wQTYYNz0O1SB83CV/cffldsqARAZQgCEKwKAqhA3pjmj8bAP2hA7A08ylJwnfPvXjjK2Mb/4kIpoLAOHcWoe/1QQkLI7luPZSw8ICmb/10DobvvgnuwpcaDdapM4hq8iSmebPx3lcB52uBaUELFN2BfYT2fgf9gX3IkZGkT5iCs1Ub0BTuTq7C/eoEQRDykXn0cPVDr0JFLvxxjORtP2OdOgN7l7fw1K6DJjERw+ZvUSyhAOj27aVI1QoYF8z1pyHZ0gttF0jQ+HxYBvcnrF8vlKgo0havCHjwBKAUK4ar5SsBT/cKoaGkLfwcuWhRQgf2Rb9ta/DzzAYp3YplYF8in2qA/sA+nM1bkrxjL85X2hX64AlEC5QgCEJQaA//gXnieHxlypK6bDVKdDS+6Gh8992Pq3lL9SRFQXP+HEgSAJqkC0hud5YNZSNavID22F94K8bjja+idgFWisdX5p7b4kMqx2w2wt/oSMjXG/DG3UfaouUBX91bt28vmpMncDd+Ls9+B/JdpUmbu4Twbp1RIiLyJM/r0R7+g4gWz6M9cxrvveWwjZmA59F6+V2sPCUCKEEQhCDw3Xc/1rmL8VZ44NozjyQJuXgJ/0P3E0+R9NtRkOVL6ZS9B825cxi2fodh63f+43Jo2KUxVZUq461UGV9sHOj1QXpFBZ/m9CnC27RA/+tB3PUaYJ29ACU88MGGZcQwDNu2kLJpK94q1QKe/rV4H3qY5B/3Fojfsa9MWZTIKDLatMfevScYjfldpDwnAijh1qUo6A7ux1u5KqB+I5JcTv9joZBzudT1fGIK1tgh3d7deCtVBoMB99ONc5fIZa0a6VM+A0BKTUH36yF0hw6iO7gf3a8H0e/aiWHnj/5zU1etw1OnLgAhSxfhrRiPr1J87l/MLUR3YB/hbVuiPXsGR7vXsH00NiiBhm7PLgzbtuCu2yBPgye/zNek+fcfTJ9NJeODkVlaLIPG68U0YzpKSAjOjp3BaCRl8w95k3cBdfu+cuGWZ54wFvPoEaRPn4XrheaYx4/GuHYVKd9uwxtfJb+LJwSTy0VUw7poEw5DbCxhFSrirXSpe0spEp0vxdLt3U1k06dxNWpM+qz5AU1biYzCU6euP0ACwG5H9/uvalB16ADeipUAkM6dI/ztN3E99TTWhcsAMHz7NdojR/DGV8ZbsRJKRGRAy5efDBvWE/5GR3A4sH0wEkfXt/zdooFm/ngMAPZ3+wYl/eyyjB6BccXneB5+BPezTYOen2RNw/zJeJTQMJxtO4DBcFsHTyACKOG/fD5CVq3A9fxLBfqPI2TpIiyjhuO7qzSe2nUAcLZ6BaVoUfXbP6BNOIx56iQcbTrgfbBm0N5Qhbxn+mwausN/4CtTFu3ZsxgTEmD1Sv/zvjvvyuzWisfZui1yqTvypFze+x/A/cRT6gdMXjCb8daoibdGzazHTUask6ahFCvmPxTyv2UYV/3P/9h3dxm1juLVevJUrHxLLnKoO7if8A6twWTCOm9J7lv9spPXgX2EfLsJd61H8NR6JGj5ZIfto7G46z8W1OBJSktFe+xvvFWqoRSJJm3eUnyxsWrwJCApeTi7IzExPeiZxcSEkZiYHuxsCi3jvNmE9e1JRs/euJo0o0jt6iSmF6zF2wybNxHepgVKeDip677BVz72queZx4zEMm4UAN64+3C2aY+zect8a524SNyjN086fx7LhDFk9B9E0XvvJGnPIXSHDqA7dBD9wf3oDh5AcyERgOTvd+K7vwJ4vYR3aI37sYaBnwbudhf4DxXNP8fR79uL7uCBzLo6gCY5Ocs5vuIl8FaKx9G9J55ajxATE0b6hClIyck4evRU0zl3FsPGr0CnQ9HpQK9H0etBpwe9DkWbeUynhxAD3qrV1cQdDjRnz6BERaFERqnH7HZ1hqFer/7LzZccRcE8egTuZ5oEveU5vH1rQjasI3XFWjz1GuT4+qD97SsKmjOnA/dFQVEIWbsKy6D+AKT8uCcoY8kCIdjvpzExYde8KUUAJWQhJSZiGTMSOboIlo/Hwvz5JD79fH4Xy0+3by+RzzcGWSb1f1/irfnQtU+WZXWl4EXzCPlqHZLbjWIw4Gr8LM42HdQ9sPJhFpO4RwPrqvWpKGjOnUV36ADuBk+ATof2yJ8UeaQGjtZtsU2cCoB5/Gj027Zmdmups9x85WNz1PqqOfEvkS80wfb+h3nSlRIwioLm9KksAZXu0EG0p0+RPnYizvavERMThqdyVXRHj3Dh+BkA9Dt+UP8Gs5OF2cyF42fV637cTmSzZ8jo1Rd7/0EAhLdtQcjXGy6dr9WqwZdWB3od6DKDM70eR+c3cHR+EwDL++8huZzYRo3Ps5Zl7W+/UqRBbTzVHyT1q29zlW+w/vZD332bkK++IGXjlpuecag5foyw/u9i+O5blJAQ7L36Yn/r7QL7BSE/A6iC20cj5AslJgbb2Alo/jmOecI4pKlToYAEUJq//yLilebgdGKds+j6wROARoOnbn08detjS0rCuHwpxkXzMK5eiXH1SnxlyuJo0x5ni1duya6L25H+x+1IqalqN831PsAkCblESdwlSvoP+crHciHhONJl225oTvyLfuePGH7a4T+mGI14KzyAt+Kl7i3v/Q9cdZaRlJhIRPOmaP85jvbffwLzIvOKJCHfcSfuO+7M0u0lXbgAmkt1axs7Aclm8z/2lo/DOn0WeL1IXq+6vYjXg+RRf5Z8F495s3xBkYvG4GjdNsskD2/lqmo6Hm9mGmpaeH1IXo+a3sW0LpuZqP3nOIbNm3A/2Qj3408Gq4ayME8cB2SOfSpgwwG88ZUxLZxLRLuWpK7/JleLsmrOnMb4+WLME8YiOZ246zUgffTHAdsguTASLVACALqfd6JJPI+78bP+N4fwNi8Tsmljnk/VvRopMZGoxk+gPX6M9DETcHbomLuEFAXdzzsxLZpHyJdrkBwOFJ2O1PXfXOpqCDJxj+aSohBVvzbahD9I/nGv/439puszI0MdiH3wALpfD6r/H/5d/eC+mLVWi23kWJyvvg6A9s8EFIuZ8Lat0P96EHuPXmQMGnozr65AEveqSvtnAlGP1sQbX4XUTVtzHUAFsz5DB/TGNHuGOnFg3hLQaq9/gc+Hbt9eDN9+jeGbTeoq+YAcUwzbhx+p42ALWKB4NaIFSshfbjdhvXug/TOBlO27/WOKHK91ImTTRkxzZpL+yfT8K5/NRsQrL6E9foyMXn1yHzwBSBLeh2uR/nAtbCNGE7JyBSGbNvgHnmvOnMa4cB7OV9oh33FngF6AEBCShHXWfPQ7fgjst2KLBe+DD+F98LIWTbcbbcJh9Be7tg4ewFf2Hv/T4W1eRnvyBJLXi6Ptqzg6dET/3bd4K1VGiYkJXNmEAsE8YSySomDv2afABhW2D0ehPXKEkK83YPnow6sH9E6nvyU1ZPlSwt9Wu0QVgwF3vQa4Gz6F8+VWl8aoCdclAihBndGUcBhHh45ZBmR76j8O5coRsmYltqHD82fwtc9HeKcn6fRLAAAgAElEQVT26Pfvw9nyFez9BgUsaSUiEudrnbIMKDYuW4Jl3Cjk4iVwtn8t80SlwL5p3m585WOvOWkgoAwGfJUurqHUNutzbjegIHm9OJu+gG3Mx+rkiwG91TKWLJVlTJW3UrwajIt76Nbk8yHZ7XgrVMTd6Jn8Ls216XRYZ80jstFjmD/5GG9sHK6XW/mfDu3ZjZAv15L06xEwGvE0eBzHK+1wN2yEu259CA3Nv7LforRDhw7Ns8zsdnfQM7NYQrDb3cHOptDQnDxBRKf2KBERarOv0XTpSUnCYtAgffUVcpGieGs+nPcFlCQ058+j6HSkT59942bpm+SpGI9c9h5czV6AkBDIyCCq7kNoz5xBvusulKgiN52HuEdzzjxqOIrZjFyy1BXP5Wl9yjJh3bti+GkH7vqPYZ29QJ09ptMiF41BCQtDc+4s+gP7MPy0A+OalZg/m4Zpzgw0ycm5mrmVn8S9Cmg0uJ5/EWfzlup7wk0Ien0aTXhq1SFkxVJCvlyLlJyEJ3OMmP7nn5Ay0nE3eBwlMgolNAx3o2fULyQFdIB4dgS7Ti2WkA+u9ZwYA3WbC+/wCiFffYl18qe4WrS+4vkYnRfljjuQY4qT/PO+oAcw1yTL+TJjTvfLHiJavoAmNRUA9yOP4mzTHlfj53K9dYG4R28gIwPt2dPI0UVRIqPQf7+FyOZN8d1xJ66nm6BJS0VKTUGTkoKndh3ME8aSmJQR/HIpCqHv9cE0ewaeGjVJXbEWLJarniolJmaZ2Wb4cTuaC4mkbP7B3118K7jt79UAv+8Eqz41Z05j+HYThm++xrBtC5LdDoCi05G8+6DaAppP76HBJpYxCKDb/g8+BwzfbCTilZdxP1ybtLUbLm1oevwYxiULcXR+k6L3qzPVTIsXkLZ4Oe6GjfKkbMb5c9D9/iu2kWPzL2i7yOkkZP0XGBfNx7DjBwDkqCiczVvibNMB33335yi5gnyPao4fw7DjB3U39Zsk2dLR/PMPmtQUpJQUNfBJSfE/ltJS0aSkIKWmoMTEkPb5KgBCPl9MeI83SJ84FedLLYiqXwvt0SNc812se3cSBw0PehfZxXXFvPc/QOrar3I0TsSwaQMRbVqoW4yMmxjEUgZWQb5X80Jo355oEhNJHz8pIEMYAlafsqwOAP9mY5YB4ADecuVxP/EUksetBvuVKpP6xcZrBvu3OjGIXMh7DgehA/qi6HTYRn/s//CRrGlEtHoR3V9H0e/+GbZ+h/O1TpgWL8A4Z2beBFBeL8YFc9GeOYX97XfzbBXpazIacb34Mq4XX0b791GMixao031nTMc8YzqeGjVxtO2A67nnb903qYwMzJ+MxzxtMng8eB6qha/sPYQsmIt+725czzcHiUvBUKoa+Dhfbu3fay3i+cZILpe6Rg5g+HYT4Z1fvWHWitmCV3cpSPbF3YfjlXb4ypRVx+cdPYLr6cY4Xu+KHBmFEhmJEhUFHg+RzZ5BN3kyZnM49nf7BaduABQFKSMD391lSFu+OseDbN2PP6neI81eCFIBhYCTZbSH/0Bz7myBWkRS+2cCkc2eRnPhApB1ALjriacuTbBQFHC7Ma5cge73X7NOkhACQrRA3abMo4Zj+XgM9rfeJmPIh+pBWSa8XUtCNm3EV6w42vPnoE8fEvsMJvKZJ9Dt3U3yzn3Il81GChbJmobm5El8FR4Iel654vFg+HoDpkXz0G/ZjKQo2AYOwfH2uze8tEDdoxdXHB46CO3pU/hKlsL9eENCNqxDSk5GusH7g3XKZ/6BqpHPPgVuF6lfbwVA+/tvmBbO9Qc9cmQUSlQUckTm/5nHrzX+QnP6FEVq10AxGUn+6ZerBi2as2eIfu4pOH6c9NEf+5cZCApFQUpLzVnwpCjot23FV/Ye5NJ3B69sQVKg7tX8oChI588HbJ243NSn4at1mGZOJ33SNPUecruJalAbT82HbzwA3O1G+8/xvJl4kU8KfBdeXFzcTuDi6nO+hISEx+Pi4ooAo4C/gfLAewkJCeeul44IoAoG7V9HiKpXC7loDMnbd/v/+C4GVe66DbDOnKsGTX8dJW32ArX52uVUZ+YFqR9de/QIUro1z9ZjChTNiX8xLlmIs92r6iBnr5fwti1wNX0BV8tXrji/oNyj2t9+JXRgXww/bkcxGLC/1QN7t55EdHgF3YF9eB+oiBIeDj4ZX/lYlKgoNGdOo/39N5wt1JYnX5myQduUNqxTB4xrV5E+Ycp1uxRjUs8i134EXC6Sdx1AiQ7cbFHDxq/Q/f5rjqevS2mpGJctwTh3Frq/jmLv8iYZH6rbCmlOnVRbVW+BWXkF5V4tLG5Yny4X+h+3oz1zGmdrdfancc5Mwvq/i3XGXFzNXsx13pI1Dd2hg+oODIXIrdCFtzEhIWHof46NBL5NSEhYHhcX9ywwjivm+woFkWXwACS3G9vw0f7gybDuCywfj8FXugzWGXNQoopgnbeEIj264Lu3fNBbgjTnzhLR4nk0SUkk7/wF+bIVpAs6+a7S2PsN9D/WHdyPYet3yKXv9gdQUlISSpEiBeJDU0pJxjJmJMa5s5BkGVejZ7B9MNLfspi2bBXaf4/ju6fcFdeGvdUZw88/od+1E3fj57D37I23UuADKP22rRjXrsJTvQbOVm2uf3L58qQtWwUeT0CDJ7xeLMOHoD15AueLL2driwztr4cwzZ2JceVyJLsdxWDA2bwlrheaAxDWsR0h69aSum6T6FIpwMwfDUOTnELGwPeDviaS5uwZdQD4po0Ytm1Fsmcgh4bhfKkFGAy4XnoZV5OmWTaGzjFFIaLF8+h++5WUb3/AFxsXuBdwG8tuAFUpLi6uH2ACdickJKwHGgMjMp/fAcwPQvmEIMh4/0O8FePVVccB7eE/COveFcVsJm3+Ev9gSV/cfbB3L74Ll7Zx0Jw8geZCYkBXJpfSrYS3egntiX/J6D/olgqersZbrQbJ+//IsvVExMvNkGSZ9IlT4Im6+VMwnw/j4gVYRn6AJjkZ773lsI0YjeexhqAoaH89hK9iJdDprho8AaRP/hRXk6aYJ44lZN1aQtatxfXEk9h79glcQOB2E/peHxRJUvc6y0aL5+Uz26S0VDQnTqiv5WbodKStWIv277+uHzy5XISsW4tp7iz0u3YC4LurNI5eHXG2botStCigfkkI2bQB9Pos28kIBYt04QLmz6YhR0RiGz4q8Bn4B4B/jeGbr7MOAL+3HO4nnsLd8Cn/fa+ER0D4TeYpSdh79kG//Qd89179b1vIBUVRbvgvNja2Zub/2tjY2B2xsbF1Y2NjXbGxsZGZx3WxsbFKbGys7nrpeDxeRSiANm1SlIgIRVm+/NrnHD6sKG+9pSh6vaJUq6YoshyYvF0uRXn8cUUBRenSJXDpFiQZGYrSvLn6GnU6RRk2TFE8nrwvh8OhKPfcoyihoYoyZoxa9xdNmKAoGo2iLF6cvbRkWVG+/lpR6tZVXxcoSoMGirJ5883/DseOVdPr2jXn13o86v1ZpIiiHD+eu/wPH1b/3Uh6uqK8956iFCt2qQ4aNVKUL75QFO813uvWrVOUI0dyVy4hbwwYoP4uP/kksOm6XIrSvr2ixMRcul/0ekV54gn17+/PPwOb343ciu+1v/6qKPv353Wu14xpcjyIPC4ubhTgAF4HaickJJzIHA91NCEh4bqrDIoxUPnLOHsG3hoPZtnM8yIpOemq03Qv1md4u5aEbPwK5/Mv4a7/mLpm1M2OhZJlwt7qjHHlclyNnsE6ZxHoCu/EUP3W7wh7+020Z07jqV6D9Cmf4bu3fFDz1Jw9g+63Q/4NV3X7f0EuWQq5eIks5+l2/Uzo4H6kLViW4wGz+p0/Yp4wFsOWzQB4atTE3qsP7ieeynF5pdQUilR9AEIM6sDxbCxc+t+/+ZCli9Af2IdtxJgcL4GhOXWSyCZPIrmcJO/Yc2X+mTObCAkBj4ci1SsiOR04W7XF0f61HG0xI1nTUMLCC0S37rXcbu+nUkoyRapXApOJpD2HwGS68UU3SA+f7G+FjGlQC1/iBdxPPIn7iafw1G+Qq41/b4qiYJo8Ad0fv5M+bWaBvv9A7aEIWb0S45IF6H/Zi+uJJ7Eu+Z//+fwcA3XDT8C4uLj74uLiLt98rDxwFFgP1Mo89kjmY6GA0pw6SeigfoS98Tr4fIC63o6UmgJwwzVO0sdPJm3WfNI/m4OrVZuADCS3fDgE48rleGrUxPrpnEIdPAF46j9Gyvc/QevW6PfuIerxRzHOnaV+KAeD10tkkycJe70D0vnz6qEq1a4IngC8NR8ideOWXM028jxcm7Rlq0n5eguup5ug37ML04zc7Z2oREZhnb+E9LGTcr3qu6tVG7Xr72Lw5M7eKsXShQtENG+K9tRJ7F27X5G/9tdDRNWujnn6ZPWAXk/a4hUk7T9MxgcjchQ8hXV+lej778U4Z2a2rxGCzzTzUzS2dOxvvX3TwZP20EGKVK+EZcyISwe/+YbkgwnYJk7F3eS5vA+eADweQr7egHHlcsyTxud9/tmhKOh3/khY965EV4olrPfb6Pbvw/XEkzjbdMjv0vll5xPLCjSJi4srhdoTewJYCmwARsfFxcUC9wK9g1ZK4abJd9xJ2oq16oeKVot+xw+E93gD92NP+BcwvB4lJgb3c89nPlDQnD6JEh6hfoPOBdOMaZinTsJbrjxpi5aB2ZyrdG41SmQULF6MtcGThPZ5h7B+vQj5+ivSJ04N2NgvKTFR3dBWpyOj73tILtfVB1crCuYxI3G2bot8V+mb/ibqrVod6/wlaH//LUtaluFD1X25XmqRrcDbU7f+TZXjcqYpkwj5cjVpK7+87oeVlG5V1z87egR7t3dw9OgJqEGT795yYDIhly6NJiUZyWr1X3dxDayckrweJI+b0EH98FaugrdGzVylIwSOlG7FNPNT5OhoHBf3wcxpGslJoNejhIXju78Cvgcq4o2779IJJUtCfrfoGQykzV1M1FP1sYwchrd8nH88bH6Tzp1TZ68uXYjur6MA+O4ug7N1W5wtWuf/moD/IdaBul35fJjHj8bV9AV1sPg1XFGfbjcRLzdDv/NH7L37Y+/dP8dZG75YTXinDsgxxUj96ttbcn2cm3GxTjVnzxD29psYtmxGjorCNmYCrqa5X2hR8/dfhL4/AN2hgyTv2HPDzUGNsz8jbEAfXI0aY12wNNf5Xo904QLRVe/HG3sfqd9uu3aQ5vFgGTYYR+c31WAuB675N68ohL7zFqali3A/Wp+0JSuuvpeZ00lEqxcx7PgBR5v22D4aR8j6LzDNmYl+106sk6apra6Z5+Z2C5/L6Xb9TFSThiiAXOoOUr79wd/NU5DcTu+n5onjsIwclu313C4nJSdh+nQqppmf4nizO/Y+A656XkGqT+2hg0Q9+yQgkbJu081PurgZbjfhr7fH8M1GJJ8PJSQEV+PncLZpj6d2net+8SrQXXjCrU1KTiLsrc5oTvyrHsjsvkOrxd73vesGT1el1yOXKoUky5imTASPJ0eXaw8dJPzNTihmC9al/7vtgqfLySVKkvb5KtJHf4zkcmFY/0XuErLZsAwfSpG6D6mLoN5bDo017bqX6A7uJ3TIQOToaGyjg9eMrxQtSvKPe7F9/Ik/eDJPGItp5nTI3K8LIGTtKsyfTcM8JYDbnEgStvGf4GrUGMMPWwl/s9Ol+/8ir5fwzh0w7PgB1+NPIkdHE121AuFdO6pLNTz2RNaFYwMQPAF4H6yJ9/4HQKNBe/oU4V07Xlk2Ie/YbJg+nYIcGYnztU7ZvkxKSsIy4gO1q27iODCbr9pFXhD5KsVjnTIDyZ5BRLuWSImJeZq/9u+jaP7+S31gMCClpuCtUJH0j8aRdOhP0j+djadO3QK9f5926NCheZaZ3e4OemZi9/CsQgf1x7R0EXKpO/BWrU5EqxfRHj+Gp9Yj2eqyuaI+JQn3Yw0xLZiLxmpVd/vOwfYuSnQ0mnPnsPcZgPehWje+oBDKUqeShLdqNVzPNcP1bDP/uAvtH7+r3XDXoyiErFpBRLuWhGz+BrlkKdInTME++AN1AcxrkNKtRL70HJqkJNLmLsIXXyVQL+3qxYyIuNQ96XQS3rkDIeu+wLRonrpIZ4UH8Faphq/sPTjbdgBTzrpzr/s3r9HgatQY/c8/EbL5GzSJieoUcUlSJzG8/SbGtauRo4ui+/1XDDt/QjEYcLzaCevUGTg7dUW+866bev1XJUnq7++br/GWj0W/by/IPjyP1gt8Xjfhdnk/Nc38lJCN67F374mnwRM3PF9KSsIyYSxhXTti+OF75Kgo7P0HYZ0y47rdsQWtPn2xcaDVEvLVOvR7duF88eU8GYuqO7ifInUfRmO14n5G7T50N3kOZ6c38FarDsbsjz8Ldp1aLCEfXOu5ghvaCTdNt2cXpoXz8N5fAUenrlg+HILh+y3oLlt3JFdMJqzT1MGvpvlz0P2y58bXXBzIq9NhGzsBT/3Hbq4MhYzvnnL+QcuGL9dQpN7DmGZMu+b52kMHiXyuEeFvvI4mJZmMd/uRvH037mebXT8wVhRCe/VAe/yY+mHxWMNAv5TrMxpJ3r6HjF59wOUmdPgQilSriHnsR7ifeDIgG7ZewWTCuvBzPBXjMS2Yg3nUh+qYp+cbY1yudl1qki7gja+CddK0S4PCg7xlkat5CxSzBclux1f6biwTxmHYtCGoeQpX4XBgnvYJcmgYjk5dr3uqlJSEZfhQoqtXxDxpPIrFgm34KJJ3H8TR5a1bciynvWcfnM+/iH7XTkL79gz8pBZFQbdvL6G93/G3OHkrVVYXmH3q6Uun5XI8bX4SAVRh5fUS2rcXAOmjJ6hdJNMn4y0fq05dvclmUc9jT+C5vwKSohDertV1m3+ltFSinqyvdtsINyTfXQZP5aq4rxLcSMlJhPbpSVTDuuh//glX4+dI3r5bXQk9G2/exvlz1BW+H3yIjP6DglH8G1Kio7H3H0zyvt9wtGmP5HRgGTeKItUqYhn2vn/GYEDzDI8g7fNVeMveg2XCOMLe6oLhpx0okoTzuedJ2bCZ1E1b1bFOefQhqISF43yxeeasv24oRiNhb3VBc/xYnuQvZJIk7G/3wt53wHVXHTd/PEYNnD75GDk09FLg1PnNm56xl68kifSJ0/BUqYpp6SJCe3VHusEQgGwlm5yEacY0ourXJuqpBpgWzMG4+n+X8pw6Q/3CdwsTAVQhZZo7E/2vB3G2fAXMJsJ6dUcOC8c6f2nAIn1Hr74AaM+fI7zLq+D1XvU8zdmzSBcS0Rz7OyD5Fnbe+CqkbtqKr5y6RpTuwD7MYz8CaxpRdR/GNH82vnLlSV2+BuvcRdnaYgTUVqvQwf2Ro6KwzpgLen0QX8WNKSYz+r27kVwu7J3eQAkNxTxlItE1KmJ5rw+aUycDlpdu724iXmuDvXtPfMVLELJxPZ77KpDy3Q7SZ83HW/3BfFkPx9nuVQAM339H+pgJaNJSCe/YDhyOPC/LbctoxNH5TRxdu1353GW7CUgOB3JYGLYRowtH4HQ5kwnrgs/xVqiI8fPFaP85nrt0ZBn9ls2EdepAdHwcoYP6oz36J64mTUlb+j/s7xSuyfoigCqENOfOYv5oOHJkJBnd3iG8wyvgcpE+fab/QzkQXM88i69YcRSdDsP2bVhGXL2r2Bd3H6mbf/Bvpipkw+XLAHw4BMvYj4hs3hRXsxexDRtJypYfc9QNKtnSCe/UHsnlIn3yp8h33BmMUueIac4MdH/8juOVdmRkfiilj5mAHFMM86zPCFm98qbSl85d2ttcMYSg2/0z2iN/krZsNXJEJLqjf6I9HbggLTe8laviqVoNwzdf46lTF0fbDugPHcD86ZR8LdftQvv7b9cMVs2jhhP59GP+wf32t3uRvOsAjk5vFJ7A6TJyiZKkbNpK2vI1/q2RNMePZWtwuebEv5jHjKRIjUpEtnge49pV+MqUxTZ0BEn7D2Ods1BdzDeHC9sWdCKAKoQsQ95DY0sno/9gwvr1QnvyBPZ+A3E/+fSNL84JvR5nu1eRvF7kmBjMUydh+HKN+pyiYJoyCc3JEwDqzJRC9scTdD4fYV1fQ5N0AeeLzdHv+wXTwrkoekPOBnoqCqG930H391/Y3+ge+PsgF6Rz5zCP+UgN8gcOVQ8ajTg7dCR55z6skz/F2SFzLR6Xi9C+PdEe/uPGCSsK+u+3EN6+NdGV49Dt/wVQZxylT5qGef5stH8dJW3RcjCEoDlzJjgvMAccHV5HkmWMi+ZjGzEG26Ch2N/skd/FKvzcbiLavEyRRx+6NJv4svE/mnNn0Zw+jfYftUtVCQ0rlIFTFgbDpYkMPh/hb3SkyKMPZvky8l/6H7dTpEYlLONGIaWk4HilHSnrvyHlh1043ux+48kwtzARQBUy+m1bMa76H55q1dEe/VOdnt34uaA1nTrbvYqi0yGHhaOYLYQOHgAuF6ZpkwkdNpiwXt2Dku9tQasFrQ7FYMA2dCRpsxeo42QG9Cbi5WZozpzOXjouF1K6FU/1GmQMGhrUImdX6LDBaNKtZAx4/8r1j/R6XC1a+xe+DFm3FtO82Rg/X3zN9KS0VHW8Re3qRDZvSsiGdXgrxmfZtFe+qzRyaBhyseJ4H3qYpN0H/V1o+cnV9AU81aqrS3oYjTh69Lq0XlU2V1EXcsHjwflSC5wvvoSUloblwyFEtHrRH0RlDP6A5F0Hrrmx9u3A9fxLuJ5ukmWHAu2RP7EM7u9vmfLUqIn78YakT5xK0qE/sU2Yom4sXsC3iAkEsZBmYeJyEdWgNtq//8L+bj8sYz/Ce9/9pH71ba63DMhOfYa93h7jF6uxvT8M9zNN0O37hfA3XsdXspS6UGYB6C4qSK638KNh00YMmzdhGzNBPWazqYOaMwf9a86dJfSdt9RlCyIisY0ej+uF5jfOVJbVvdeuM0g2r+h2/kTUc0/hia9C6tdbbtwyKcsYNm3EU7W6+kYuy4T2fxfnSy1RzGaKfD4fZdEiJLsdxWDA1fQFHK91wlutxpVv4g7Hla0IHg+WYe/jeL1LtseT5QXj7BmYZn2q/v3mclubm1XY30+lCxcwT5+Maba6HpKveAlSv/k+YLsC/NctW59eL+h0hPbshpSerr7fDx+ljgMLElmG9HRIS5P+80895nBIvPSSh+rVQ/NtIc3CvfnYbca4crm6FUWbdpinTkKOiCRt3pKg77fk6PoW3vgqOFu3RffrIcJ6vIEcFk7a0pUieMom7dEjhA7qh+G7b1G0Whyvd1XXaPnPauJy8RJYl/wP44K5hA55j/CuHXFuXI9t9MdXfshmZKDftRNPg8dBoykQwRNeL2H91VWebaPGZa9bV6PB3egZ/0P9TzswzZuNad5s/zH5rtI4enXE2bptlhYt7V9HsHwwmPRJ09T6uUoXjOHbTZg/m4rm/FnSP5t7Ey8uADI/qAA0FxLRpKWh/fcfvPkUQBVW2kMHMK5agWnubH/gZB80RN1nLUCLpd7yMvejMy5egH77NlJXryfky7VorGl44+7HXe/6YzAVBTIywGq9MvixWiVSUyX/zxePX/5cejooyvVbsTQaqF49kC86Z0QLVGEiy4QsX+pvBUKW1Q/Pm5CT+tQeOkhk06eRXE7kItE4Or3h31NMuOTyOpVs6ZjHj8E0YxqSx4P70frYRo7J1grxmr//IrxbF/R7duErUZKU73/KEkSFvtsD08J5pM1fivvpxtkun5SSjG7fL/ji7lP3ngpgU7xp5nRCB/bD0bottolTc52ObudP6qa+so+Qt94g8cFHrwjGNKdPEdnkSbQnT2CdPgvXiy9fM72QZUtwNX7uhtvfBJNx0XwsI4eRuu5rtdvI50NKSkIpVizfylTY3k+lCxcwT52IadpkJEXBV6IE9rffxflK+zwJnG6F+tScO0vIsiUYlyxEl7luk7NUWXa9v4IUOZL4GT0pu/9LPDoj62u+z5qyb5OSrs8S/FitakDk9ebsvSM0VCEiIuu/8HCIjFQID7/8OERFKdSo4aNkyfzbykW0QBUmXq/6IaHX46nXIE+z1vz7DxEtX0CypWMbPwnzx2ORXM4bX3i7kmVC/rcMy7D30Z4/h++u0tg+GKlu6pnNgEW+515Sv9iIecpENGdOX9EC5XitM1KGDffj2V8s0/DNRsLe6YYmUV2L6cKRf1EiIpGsaej278NbtVqul8GQzp/HPGoEckQkGYOuubhvtsilS+N+shG+0ncT8myTKzZolZKSiHi5GdqTJ8gYMPi6wROAq0Vr/8+6/b/gva9CnrdEKGYzyD60R4+oAZRW6w+eNOfOovn3H3VsiZBj0oULmKd9gmnODKTMLYTcNWqStmrdbdfi5HbDuXMSp09rOHNG4swZ9WfpyBFa7BtInZR16PDhwMjnvMJsOvL96XooXS8OmV7Li6xkqvctmv34Hnf+uJKOzOYglTGZ1EAnOlqhbFnlKoGPGvxkDZAuBUp5sAh6QIkWqELA8PUG9Nu/R7LZ0P79F9Y5i1CiA7Oic3bqU0pOIrJxQ3R/HUUOCyfp8DEkp+OWXFk2L8ScOIKnyxvo9+xCMRqx9+iF/a23AzPDR1GwvD8A1/MvqWOAsisjg9ChgzDNn41iMKhbqgC2j8YB6j0W0bYFGX3f828grd+2FTmqCL77K2Trnc8ydBDmaZ+Q/tE4nB075/ilac6dxTh3FoZNG9H/evDSE4MGkditt3+cmGRLJ+KFJuj378Pe5S0yho3MdlCq27ubyOcb467/ONY5C/P2Hd3jUafM//cD3eWiyCM1kGzppHz7Q3C2lrmGwvJ+qt+2lciXnsNXshTIMprE8yT/9EvQV5v/r2DXZ0YGmUGRhtOnJc6eVf+//FhiYta5Y1q89GYcQxmKERcHtNVYGfkaW0u1RFMk4prBT4zmAg9+3p87Ny9B0emwvtkTd5++V9+wO4jyczNhEWzqRYEAACAASURBVEAVAhEvNUW/YxueR+ujOX+OlPXfgMUSkLRvWJ8OB5EvPot+zy481R/EU+NB7H0GoIRHqM/LMsb5c3C2anPbfdO7gtNJ6MB+6h5wioLr2WbYhg5Hvqt0wLLQ/bSDyKZP46lRk7Svvs3eNfv2EvbG6+j+/gvv/RWwTpuF74GKWc7RHv4D44rPcTV+1h+YFalZGe3xYygmE974Kniq1cBTvQbeqtXVD/n/Bi1OJ8YlC3G2fy17Y59sNgzfb8H9ZCPQ69EcP0Z0zcooBgOe2nVw13sM07xZaP85juvZZlgnfwoaDRGvNMfww/c4W75C+sSpOVt13+UionVzDD9sxdGqjdrNWABmExnnzyGszzt4qlUnde3GPPuQulXfT6XERMzTPsHRoaM6MUBRCPliNYqiENH5VZzNW5I+dUaelyu39akokJoKp09rOHtWbTFSA6TLW5I0pKVd+141mRRKllQoWVKmZEmFUqVkHtAl8OLK9kT/sx9PdDFso8bjbdo0R2XTf/cNYb3fQXvyBN7YONIvzsLLIyKACqBb9Q/+pjid6mDhR//P3nmHR1G1bfw3M1uymw6E3ovSu4AovaMIgiKKiIIgAlZEFBUFRUFREFABpYNSREF6772D9BZASoD07bsz8/1xyCYhCSQhQXw/7uvKtZPZ2ZnZs2fOuc9T7qcRUmxMjtYTu1N7JlkVXB2fTbdEjGXSjwR9/AHOF7tj+25cjt3XfxK6TmiHtpgS4ogbNiJXCscGvdMfy+wZqWKMpJjo9PuEz4f1+2+xjhqBpKo4+vTHPnhI5oiurosYiX17MO7dg3L8KFIK1WYtIr8gUzVr461RC+8jdTNXIsVu95P/oA/fwzJ5EnELl+Gt/zggBmtfnXr+xAgpOpp8r3WHTZvwVquOnjcfpnVrcLd5koTJM7JlQZJsiYR2aodx/z4c/d7C/unnWT5HtqHrWH6ZgOHwIRLH/pRqf/AbfQiY9xvOl3smZ2nmMv6r46l5wTxCXn9VWCA//0rs1HXCmjfE8PchYrfsRi330D2/r/TaU1Xh+vVkV5ogRVIqsnTlioTLlTE5Cg0VhKhgQfEqiFLKbY2wsLRrAfnqFcIfr4OnzRPYhn2Z7WxPyZZI4PChWCZPwlvrEeKWrblnC48HBCoH8V994LMFXUeOuoph1w48Tz2dK5e4U3tKCfFYx43BPvBDMJn894XLJVxSTidh7VphPHSAxG/H+l1D/6/g9frLpkjXrpHvoeJcj8v5+DDz73MJ6dsLb5VqxC1dDQEBGLdvJfT5Z7B/NARnz9eS5RDOnSWkby+Me3ejFi5C4rgJd0fobDaMhw5g2LsH4/69GPbtQbl8yf+2o++b2D/6FCSJgFnT8T76mAiUV1UMe3ZjXr0C0+oV6CYzcas3AmDYtRPTulW4uryIVrJUhpeOCDXj7N4Dy02dKG/1GsT9tfKuLJ5SdDRh7VpiOH0K25DPcfZ/K9vnyipCn3sa0/q1xGzcIdyjSXA4CG/bHMPRv0kYPxF35+dz/V7+K+OpdO0a1gnjcfR/SywWVBXz/Dm4O3Ty9wPT6hWEdu2Mq0NHEidNu2f3putw7JjMiRMyCQkWTp/2pCJIV69KqGrGZCMiQqNw4ZSWI52CBcW+JNKUFYeDYecOJNXnX5RIUVGpdJ7uBoYd29HDwlDLVwBAPh+Z69IgDwhUDuK/8sDfNXSdkG6dMRw9ivLPReIWLcf76GM5fpmM2jOjh06+cJ7Qbs/hrVcf28jv/PvCWzREstuJ+2tF1mJz/uNIig9z9nsL14vdgdzpo8rpU4Q3b4guy8Su2YRWugwAprWrCO7XGzkmBk/DJiSO/RGtcBFCO7UTbq6nOwkJhFyQOJCvXsGwe5cQU9U1YrbvR466Sp6mj+F5vCFaocKY1q5CjokBQDeZ8DRsTMK0X5PJeCYQkS8IR983sU4Yjw44X+2D/cuv7/7+/7kosvguXyLh+x9FoeF7ANOyJYS+/ALOHr2wjfg29T2dPUN4i0ZIPi+xy9ehVqyUq/dyv4+n0rVrWH/4Hsu0X5CcTuwffIzjZo3OVNB1wto2w7h3DzEbtud6u/l8sHOnwvLlBlasMHDhQlo3ssGgU7BgsqUoyXokCJLYLlBAz8qjcEfIUVfJU6syWsFCxGzfl6v1MJXDhwhv1RhH/7dxDB6SY+eNjRVte+iQQqdOXurV+/d0oB4QqP8okqwNAK5OnYX7LBdMpum1p/m3WQR/+B7xU2enlUnw+chTuwpSfDwxh477A8mN69cS2qUjWuEixK7elFZ9+n8Uhr27CX3hGZy9XvcHX+d4H3U6CW/TTFgmJk0Vq+4UkKKiCH63P+bVK4X45ohR+KrVwHBw/x2z03ICUkw0pjUrkWNiMC1bgnHXDr+7Ty1QEAAl6ioAWr4IvDVrCddfzdoi6y807LbnjzD4UKvXRDebsH36Bd6mzYXrLmlsu4vnQjl5grCnWiHFxZEwdXaW5CCyDZ+PPDUrIdlsRB86kUZawbR8KaHdn8dXugxxqzYkxxvmAu7X8VQ+dxbLlElYZkxFcjpRCxcRcgQvdEs3Psy4YR1hnTvgbtuOhGkZK9rfDex22LDBwPLlBlavNhAbK/pdcLBO8+Y+6tRRqVAhAKvVTqFCOhERepbC8+4KKQRkA6b8jK9SFXx16+XqJZWjRwh+ow/2jz4Vz2Q2cfWqxI4dCtu3K+zYoXDsWHL85CefuBk2zPyAQOUU7tcHPichJcSTp3oFZJsNX/kKxK7ckGs1mtJrT9OKZQR9MID4+YvSjSOwfvc1gSO+SJNtZR0zisAvh+Fp0Ij4uX/+93JWswn56hW0/AX87rOc7qNB772NZcYUnC/1wDZqTLrHGDesI6T3K0hOJ5Lbhat9R2xfpyO+mVPweoWUsNkMLhf5Hi6BdLNoq7d6DTwtWuNp1QZflWoY9u7GuHMHhv17Me7bg3KzfmISfGXL+QmVp3VboU2VAhERwUT/fQpUNdV7lnFjMJw4RuK3Y+8q6Nqwbw9hHduB6iN+7p9+10duwvr1lwSOGkHid+P8lsuUCPz8U6zjRgtCMHVWrsWb3FfjqaZhWr+GgMmTMK1dLXSc7kCcAGF9eqo1xp3biV2zCV/V6jl2S9evS6xerbB8uZGNGxV/nFKhQhqtW/to3dpHWJjOoEEBOBzQvbtC27Y2ihS5N/OuFBtD0JDBKKdOELd0zb2vR6ppyWEDV68QOHwoto+HZugy1HWIjJTYuVNh+3YD27crREYms0yLRWg/1asn/h57TKVAgQcuvBzDffXA5xKCe7xIwJK/0C1WYrbuztm05pvBwQGzpmEb/jXhrZqk354uV4YxJtK1a+StUQG1VGliN+9KHtw1jZCXu2JesRRH/7exDxmWc/d9n8G4bQu+h8qna2nLyT5qXriAkN6v4KtYmdjlazMk0saN6wl9sTP29wdjXrEM4+6dqAUKkvj9D3ibZl4nKjMwrV5B8Ou9UIsXx/nWANztO2Id/Q1aRH48LVqJwtK3gRx1FcM+QaYM+/Zi2L8X2SbaK27OAv/9Br/RB0f/t8nz+CNp29PnI6xdK+TLl4hdtfGuYzyMG9YR2vVZ9ACLcJHmcvq7fPkSeWpWwlelmj8mLBV8PkI7d8C0ZVOuxmjdF+Opw4FlxhQCpv6C4dxZQNRfc/bohbtdhzuSY+XYUfI0qoe7RSsSZs+/69s5e1ZixQphadq1S/GrZZcvr9KmjSBN1appSBJMn27kk0/MuN0SZrOO2y0hSToNGqh06eKlbVtfpnIrsgPT4oUEDxqAfOM63qrVSZg9747PXm7C+uUwAseMQgsLwzbsK9zPvYCmS5w4IbNjh+K3Ml29mkyYQkJ06tYVZOnRR31UraqlcWk+iIHKQdwXD3wuwrh2FaHPPwNA/LyFeBvfXk4/S3A4CP5ggL9oqxYejrxlC9cjiiGfO0vgyOHYRo3JVGmY4D49CfhjPnF/LMH7eEP/fikhnrBWTTCcOU385Jl42mUtZfa/AOXUScJaNkYrXJjYjTvSWNpyqo/KZ88Q3rwhkqYRu2YTatlyqd43HNiHVrCQv66XHHVVDKCqiuWH7wkcORzJ6xVZXZ9+kXXpC11HOXVS6DJt30LCjDmgKChnThHWuhlyfByuzs+TOH7i3X1RTUM5dRLDvj142j4phD1joslXvhRqyVIop05yPdaZ9nNOJ8qVS8nFYFOUSckOzIv+wLB7J/ZhX2VNGiGbCHnpecwrlhK7agO+6jXTvC9du0Z48waoD5cXFt1cuKd/dTzVdbH4stvJW70CksuJq+OzuHr0wletRpZOpRz5GwyGTCn83wpNg4MHZX880/HjwoojSTp16iSTptKlk6e3xEQYMCCAhQuNhIfrjB/vpG5dlfXrg/n5Zx+7dol+GBSk0769l+ee81G3rpojhkQ56ipBgwZgXrYY3WzGPnAwzr5v/PsWf03DNPkXAr/4DIPTxt68LejhncihhOQEkYgI7SZZEqSpQgXtjkazBwQqB/E/TaAcDvJWLI3scODo0Qv7LQGmdwP57BlCe3TDcPRvvNVq4G7XgaAvPoUiRYiZ9huhvbqjRJ4jYeIU3E8/c8fzGXbtJPzJFrifbC8ECVNAOX6M8NZN0SWJuJXrRc23/xFIiQmEtW6K4dTJDNsqR/qoy0XYEy0wHj5Iwo8/437mueT3fD6s40Zj/eYrvA0aET/nj3RdPMrhQ4T0741y/Bhxi1bgq/fona/r8WDcvhXTquWYV61AOR8JgC5JxK7ZjFqlKlJ0NHkerQGqRsz2fblTisTrxbBvL1qBAuR9pOod21O+cJ7QZ9tj//JrPM1a5sw93MYKmxMwrltNWJdOOLu+hG30+HSPkSPPCQt0Lk2O/8Z4qhw/RtCgd3F36ITrlVcBMG7ZhK9ipRyVaLkdPB7YulUEga9caeDKFUFOAwJ0GjcWhKlFC5WIiLRT2uHDMq++auHcOZk6dXxMnOjyu+yS2vPsWYl584zMnWvk0iVx7pIlNZ57zkvnzl6KFcvGVKnrmOfMJmjIYOT4ODz16mMbPQ61TLk7fzaX4HLB/v3J1qXduxXy2i8wkddozUrsUiBzq31B/Iu9efQxjdKl9SyTyAcEKgfxP0ugdJ2wts0x7t2Nr3gJYncfyrG4B9OyJQS/0Qc5MQFn957YPv8KAgKw/DiOoM8+Qjebkdxu7O+8h+PDTGZT6DphzRpgOHaEmL1/p4lbMS/6g6AP3yN+yuzMTdz/Beg6IT26YV76l9BUGvZluoflSB+12wke8Ca6xZJqcpUjzxHSr7dw0RUqTOLYn25f1sflwrRpPZ6WbYCbmlHBIamyc6Tr1zGtXYV51QqMG9b53WlaUDDeJs1wt2yNp1lLv7sy6N03sMyanuvV2pOQmfY0rVlJSI9u4PFgH/Ylzl6vZ//50XUs40YTsGA+cYuW5V6RZk0jT51qyDeuE33w+B2D6Q27dwpLVQ5mVt2r8VSKihLVEwwGpKgo8taqhOuFbnetd2X97ms8TZuna8G7FYmJsHatcM2tWWMgMVH0j/BwnZYtBWlq3NiXoaFW12HqVCNDhpjxeCTefNPNoEGeVD/Hre2pabBli8LcuUaWLDHgdIprNmjgo3NnL08+mfH1UkI+H0nwgLcwbVqPFhiEfcgwIVh7z6LUBWw22LVLuRnDpLBvn4LHk/ycPfSQSt26Ko/W89E2ehbFvhuEHBeHt049EkePz5Y21wMClYP4XyVQltHfEPTV5+iyTMyug2jFS+TYua1fDcM64QcSvxmTWlvG6yWiwSNw9izupi1I+O33LE06AbOmE/zuG9jffR/HBx+neV9KiM/VDKJ7DcvY0QR98SmexxoQP39RhlaBHOujui7cUkZj8upz8PvIdlv2gsQ1jdBn2yPFxxP/+yL0sHCCe7+MedGfSDfHCbVESdyt2uBp2QZvvfpp5AYMe3cT3qYZvgqViF27+Z64DTLbnoZ9ewh56XmUa1Ei4P6rb7JHNnSdwI/ex7x8KXELFvslI3IDlrHfEfTFZyR+9Q2unq9leJxp2RJCXumKs09/7EOH59j1c3U81XUMu3dhmTIR8+JFJEyaJmpBkjPaREmxT576jxO/cFm6x1y9mhzPtGWLgtcrxrfixTXatPHRpo3InrtTN05IgHfeCWDxYiN582qMH++iWTM1zXG3a8/ERFi82MDcuUa2bxcXDAzUeeopH88956VePTUtH9J1LD//ROCXw5AcDtzNWmD7Zsw9K/cTHS0CvpNimA4flv2aVrKsU7my5g/4rls3rcVOunaNoMEDCfjrT3STCcd7H4iyVll4Lh8QqBzE/yqBCnuiBcbdO7G//yGO9z686/NJN26gh4eLrAxVRTl/LjlWBEDXhar1rzPx1KtP/ILFWZ9sHA7yVisPJhPR+49mqO0jXbuGaeumTLkG71cYN6wTMg0FChK7ZjN6RESGx95NH5XPR2LcsyuV/IAUHU3wgDcxL1uMFhyCbcQo4dLLqoXF5SJo0LvIMdEinkmSCPzkQwyHDoisuZatxQoxo/OqKmGtm2I8uD/XdMnSQ1baU770D6EvPofhyGE8DRqTMHl69ixImoYUHX3b3zknIF2/Tp56NXC+1hfH+4MzPtBmI7RnN+yDPrornTX57Bk/IVSOHyPPkEE4CxVFK14CtVhx1OIl0YoXF3F12bVuOJ0E/Pk7AZMnYTx8EADfw+WxfzwUT6s22b73NNB1jFs2oQcF4atRK2kXJ08mxzPt25ccYFOliuonTRUrapl+fA4eFC678+dl6tUTLrtChdKf6jLbV8+dEy6++fONfg2p4sWTXXwlSiSfP7jXy5g2b8D2xUgxLuSiAviVK6klBZLiwQCMRp0aNZLjlx55RCUkk+VQTUsXEzToXZRrUVkWiX1AoHIQ/4sESoqOJk/9mqiFihC3ZtNdr+oNhw8S8vwzuLr3wDEwfTJmHfEFgd99DbVqcX3+YggKQkqIx/LjOKFnlMl7CPzkQ6wTf8g4dkrXCWvTFMOB/cSu3oRaperdfLV/BfKF84S3bIRksxG3aDm+Wo/c9vi76aOhnZ7CtHkDsX+txFfvUUxrVxH0Vj+Ua1F46j9O4rgJd19bz+NJrSqfyQE5qV6b65nnhC7ZPUKW29NmI6RvL8wrluIrU5aE2fNSLx6yCPnsGSyzpmP/+LPccZmk0PDJTQR+PAjL5EnEbtyB+tDDfuXu9KCbTKhFi6HdJFVq2XI4X+8v3lRV0Q639Bs58hyWaZMJ+G0mcmwsuqLgafMkzp69hTRELk38qgp79iSLWp49K34jRdGpX1+QplatfFmOO9J1mDzZyGefCZfd22+7ef99z22Hxqz2VU2D7dsV5swxsnixAYdDwoiHgQ8vpGC/djz5pI9g1w3Q9Rwn87ouiFxKSYHz55P7t9UqJAWSCFPNmupddVMpLpaA6VNwvvGO6D83ZU/udNJ/k0D9/xDi+a/C4cD641gc/d8mZute5NiYHHGJqEWKgtWKnt7ywOcTGjRjRqGWKImydCnIIs/WOuILrL9MRCtQ0B/ceSc4X3kV+fo1fOUyCBSXJGxfjMS4cwdq5SrZ/Ur/HpxOQnp0Q46JIXHU93ckT3eLxG9GE7BwAb4aNQn6YACWKT+jG43YPhkmMm1yQuclpaUwk5OaFBNN4JdD0YKC723tuOwgKIiEabMJ/OIzrOPHENa6KQmTZ2a7lE3Q0E8wL18CHjf2z0fkPBHI4qwkXzhP4JfDSBz1fRoRzjRwu/0yAN7HG2E4fEjM2oCnRWtwOok5cBT5/HmUixdQLpxHvnge5cJ5lAsXMGxcDwitriQCZVr6FyH9XyPx69G4Oz+PccM6AocPxfD3ISRdR8uTF/vb7+Hq3gOtSNEsNkbmoPwyhc0BzZm/txwrVxq4cUNM/FarTrt2Xlq39tG8uY/wbIavxcfD228HsHSpkXz5NMaPd9K0aVqX3d1CluGxx4Te0VdfwZIlBkp/8TpPnJjOE28u4YMP2vLkkwF06eKlft50XHxZgMMBZ87I7N6dHPQdFZV8wtBQnVatfNSr56NePZWqVbUcFTLXw8JxvjXA/3/gyOGYViwVC5x/MRD+dnhAoO5jWMeNJvDbkehGI863BqDehXq3FB+Hcuokvtp10PPkJWbTzjQZRNK1a4T0fhnTti2oxUsSP/cP8hQoADfZvX3wp2iFiuB66ZVMX1crXYbECZNve4yvdh18teuk+JB2z4MfswVdJ3jQuxgPHcDZ9aXcrfN30xKklS4jSlVoGsrJE/jKVyDhh5//dctd4PBhyLGx2IZ9+a9qzWQasox9yDB8Dz1M8IA3CX3uaWwjv8vWb5g4ZjzKuTNYJ/2EnjcfjncG5vjtmtauwvLDWBImTbujir9l5jQC/pgPmkrixKnpEzqbDetP47BMm0zsui1oBQriadVGuNBSHh8QgFqmHGqZcnjTu5jdjvLPRSS7LXmfwYjvofJo+QugnDtDWJeOqT4ix0Rj+WUi5pXLUYsXRy1eItmSVay4kOPIhikjNhZWrzbw97yT/LDpHfJTl9lsJ18+jW7dPLRu7aNBA/WuEyf375fp1cvChQsy9ev7mDDBRcGCuexc0TSCgmS6dPGh1OjH9dEKtYvW5sginXnzjMybZ6RYMY1nn/Xy3HNeSpVKez+6DlFREpGRMufPS5w/L9/cFv9fu5Z6zM2fX6N9e68/hqlCBe3eDcspqgiohYrc/th/EQ9cePcx5LNnCHuiBbZRY/A88VS2z6McPkRoz25IsbHEbtiW4apPiokmvOnj+GrUInHMePTQsNu2p3L0SJZqSknXr9/ezOz1EjjsEyS7Hdt34zJ93n8NdruYHNyuLBWvzWoflS9eIKRnN2wjvkOy2/yWEunGDfTAwHvi3rkdpKgo8tauLIRT127J1fpa6eFun3njjm2EvPwC3lqPkDBzbrbIu3zlsqibd/ECid+MERlQKeB0CtVqs1mkwpvNwvCTWWOVZdKPBH38QeZkRLxewp5+AuOuHdiGjxQZh0nw+Qj4bRbWkcNRrkWhReQn4edpGaqrZ7mvnjuL9cdxuDp3wfdIXXHv48aA0QCyjHzTcqVcOI984bw/ozMl4n+dj6d5KwCC3umPWrJUsmXCdpOo3bSsXbyYHAS+fbuCqkrMoitd+ZVJbedTpG8batW6s5ZQZqDr8PPPRoYONePzwTvveHjvvdu77G5FdvqqcdsWgga+TeJPv6RRUdd1URduzhwDixYZsdtFh3roIZVKlTRCQ3UuXxYE6cIF2Z/llxKKolO0qE7JkholSmjUrCkIU6lSWZcUyHGkcF+bf5+LHh6eRobkgQvvAVLD4QCrFePhg8gJ8chxcdk+lfm3WQQPehfJ5cLx1oC01gGfD+XMadSHy6PnyUvcinXimDs8OQEzpxE84E0Svx6N6+Wed7yP4P6vYV7yF9EHj2Wcju3zYdy2FePhg/hq1k63hMV9hcBA4v5YghQXl3t6QF4vIb1fwXhgP0EfD8Kwdzfxfy7FW//x+6aeoF6gALHrtyE57PecPOUEvPXqE7tivUijTyJPWRTd1AoVJn7+QsKebEnQ+++g5cmDp10Hjh6VmTHDyO+/G0lISPtMmc1JZEonICD5/5TbZrNOHqUn+Z5oT9zW0gTsTXtc6lcDYS/PpOWJ+liHfMSJ4Fp4atUhYtcKio4fQsCZ42gWK/YBg3D2ezNTwrhpvq8mQuU8HnA7dbyqjNsNlp2XqTJ9MtdvSBzoXR+3G7zlB+B2S+L4EPA8dHPbraMkxBF4/TyhMZGExJwnPC6Sv+ZW48qfAWhON/OWzORwWAPe2PQxbjd0vDyFQf+8TYycjwtKKQ54K3OBOtipQ62aFelS7wwvTJiDr3xlnp7aEiQty98tPcTFwVtvBbB8uXDZ/fSTi0aNct5llxJSQjyBwz7FMmMKuixj2LUDb5XqXL8uERkp3bQcyTctSRJBQbqfQJ08qXDyZDJrtFp1ypbVKFVKkKQSJZIJU5Ei+r+usZkhkhaHdjuBg99HiYvlSM3n+aXiKI5E5advXw8dOvx7t/fAAnWfQY48R1i7Vtg/+hR3l65CKK94iayvip1OggYPxDJ7BlpoGInjJ6bNcNF1Qp/vhGHfHmLXbkk3+Dij9lTOnCKsXSuk6GgSJ03F3b5jmmNSwjJ2NKaN67B9M/q2Abvy+UjCWzREcjiIW7zSnz1zP0GKisJw9nS2s8yy0kcDP/sY649jcXV8FmfP3lh+mYBtxLe5V8PuP4icfuZNS/4icNQI4mf8lmW5EMOhA4R2eALd6eKN0ov56ZSwpBQsqPH44yo+nxAXdLsl3G7xKv5PuZ383t2gMetZQ3OiyctJyvE421CRmUIPPmUoVyicwhqWmsApiiBHPp+Cy6XhdoPHI/lJk88nkZ8oevEzvZlEM9ZymnKATktWsYbmaNyt2UcngusEYieSUsiyThfDfHqokympn6Oodh4znuSjAwLQA4OQo2/g6NUHZ5/+d59QAezdK9O7t4WLF2Uef9zHTz+5KFAge1NZZvqq2w2Jc1ZQ4qu3scZc5lKeSnz90CRWx9fl/HkZhyNtv5BlYUUqUUKjZEmNsDCdixdldu1SuHxZzB1FiiS7+MqUuXfzflZhs4lMyePHZY4fVzh+XObECZl8V/5mMj15hD1cI4I3GEeDse3o/4b1QRZeTuE/TaDsdsLbNsdw7Ei6boDMQo48R0iPbhj/PiRqIP0yHa1kqXSPDZg5DdO6NX6X3a24XXsmTRaS20X8rHl4mzTL+KaykM1lXLeG0Oc7oRUuQuzqTfeNpQUQpPOZ9hi3bSZu+dpMCfTdisz2UdOC+YS+3hO1eAliN2zLlqUgNyHFRBPSuwf2Dz5KHcN2j5HTz3zgsCFYpvxM7OKVWYotO3ZMWJuu/raFBY42eDEy6JHV1O1fnRYtfFle5SdZedxucLkk3C4d8/bNmI8e4vRTb/iJxL9r/QAAIABJREFUltOZRLhuHneTfFmiInlpYWeK3TgEwN6CrZlW4StOmyulOi4laUvaVlWRSxAQIGE0imBhs1nHZNSp6dnBc9E/0vTG7xh1Lw4liB8e+YX9pTpiMgkC5j/eBCZT0qvYJ94T+1Nu33pM0nbS/jTtp6ooJ09g3L9X1EzcuQ3DieMkjTLOF7v7QwGMG9YheT14GjbJdGFpXYcJE4x8/rkZVYUBAzwMGOC5K3dgREQw164lEh0tcf68lCIGSbjZEs5E82HUO7zAb3gw8gUfM4IP8GIiKCjZapTSglSihEaxYnq6xl9dF8KW8+YZWLjQ6BcHfeQRUYuvfXtvpqUGchpOJ5w+nUSUBFk6cUL2yzakROHCGuXLa1Qo56FL1FgeXTYUPW8+YrfvIaJEgQcEKqfwnyVQuk5w71cIWPQH3ho1wesTxCeLIn2mFcsI7v8ackI8zm4vYxv+dWr3kqpimTIJZ9fuYLWmCtZLD3dqT+O2LYQ+9zQoCnG//5W5iTQTZMr63dcEjvgCT4PGxM/949+v45QChp07CPhjHrYR32Yr4ypTytnzfiPkjT5Iuo6z4zPYJkzJ7u3mGsxzZhPy5uvYPhsuMgDvIc6flxg2zMzx4zJBQQqKovqtKWlfSWNpSe0uu9UFBiExkcilS4h9mgNzuDXdn9rhgL/+MjBjhok9e8TMWqCAxld1fuflpc+jh4URt3hVthSW00DXCWveEMPRv4nZdwStUOGMj/V6yVO7CsqVy2ghocgJ8TjefFdILWQB/r7qdGJeuADL5EkYDx0AwPfQwzhf6YW7cxehXv8vI2jAW1hmTsU+YBB6aCi+SlX88YKhTz+BcdsWok9fRA8OQYqOJmDeb3hr1MJXtRq3VvSNjYU337SwcqWBiAiNCRNcNGiQdZfdlSsS+/YpHDggc+qUzKVLRs6c0bHZbu1MOs/zG+Pkt8ir3eB03joseXoC1kfK+wlTnjx3F5PkcMDy5UKoc+NGUQQ5IECnbVsh1NmwoZojsWK3wuMR2X0nTqQmS5GREpqW+gtFRAiiVL68xsMPa5Qvr/Lwwxqht+gty2fPIN+4ga9O3Qc6UDmJ/yqBSlKx9largeHYEbTwPMRu25P5gcnnI/Crz7GOG40eECBSiLt0TXWIHHWV4D49MW3djOONd7B/MvSOp83UZL9iGSGvdEUPDibur5Wo5Sukf6DTSfA7/ZC8PhImz7j9hTWNkO7PY165PNP3+l/BbdvU4SBo6MdYpv4CgKttOxInz8gZeYJcgGHPLlHY9R7FPnm98NNPJr791oTTKREWpqOqEi6X7leRzkmEEM826rOQDnxhGoYpQMZs1lEUYflJTOTmJKCTN69OyZI6xYppWCzQ4sJkXtn6OgfKdWJOx9nUqKHedap7wIypBL/3Fvb3Bws9tpRwu1HOnfU/f+Z5v4Es42neUhTwPneW+Om/4WnzRKavF2GPxvHt9wTMni60m2QZT+snhHbT4w1zVbQxK5Av/UOeOtVQixYjduueNAsu46YNKCeP43q1DyDGrNCXugCgKwq+CpXw1aiFr2YtDphq03V4TS5eNtKggY8ff8ycyy4uDg4cUNi/X2H/fpn9+1PLAICo1128uHrTeiRcbhVDLtLg1zcJ37oC3WLB/uEnIvA/F5/5y5cl5s83MneugdOnxXUKFdJ45hkvjRurVKuWeRHMJKgqREZKHDumpCJLZ87I+Hyp+0lYmE758qqfKFWoIF7z5s06RXhAoHIQ/0UCZVy3mtDnn0ErWAi1TBlMWzaTMGkq7g6dMn0O84J5hLz+Kr5SpUmYMgu1UuXU19iwjpC+vZBvXMfdth2J3/9wx9pakPn2TLJGqAULEbdkVYaxI2EtG2E4dJCY3YfuGJ8gxccR1rKxGPgnz8TTrv0d7yO3oBz5m6AhH5I4fuLtV/6ZQEZtajh0gODXX8Vw6iQAnsZNiZ/7530zSfmRBXdsTmLXLpmBAwM4dkwhXz6NYcPcdOrkI39+0Z4+H35Xltst4XSmdE2ldlGlfE12Z4ntlC6t0OizfLH7CYo4z7AmrCN9LNO5FBuIyyW+vyQJq8CtK+kkPMN8ltEWB6Kg2ccfu3njDU+2m0+yJZKnann0kBBi9hxOJgo+H+FN6iMlJBCzfV8ai4py5G/C2zZDNxiJXb3x9pbtm7+vccc2wtq3AV1Hy5sX14sv4+ze456VCckKgj58D8vkSSSM/SnNwjE9SNevY9q8AcP+vRj37cVw+CCSy+V/30Yg14rVJH+7mqiPPSY0sVLA6RRFgw8cUG5amBS/QGcSChXSqF5dpWZN8VqhgkbFikHcuJH62TetXUXo88/gadCIxG/HZhhukRvQdRHjNWeOkYULUyc6lC2rUr26Ro0aKtWrq1SuLBYGmiayH0VsksKxY8K6dOqUnCZuLyhI91uSkixL5ctr5M+fcxl+DwhUDuK/RqDks2cIb9UEyeXE/v5ggj7/FE/DJsTPX5i1SUrXsfw4Dle37qnry6kq1m++wjr6GzAYsH/6eZYKqWalPS0TxhM0ZDC+UqWJW7wKPX/+NMckEa3MuhOUY0cJb9MUXZKJW7ke9aHUgpyaBqdOyQQF6URE6BlVi7krSHGxhLdohHI+kviZc++63ESaNlVVLOPHEDhyOJLPJ3aVKEnsui33hWvkVgTMnoFp2WJsI7/LscnU44HERGHRSUyUsNmSt69dk1i0yMC+fYIslC6tUqaMhsslUbiwziuvGKlaNTHXvLynd8aSp1c3Hr66iT3UogMLebhpQbp189KypQ+jUay+3W4RAHv8ePKkcvq0zNmzMteuybRlKQeozuOd8zN2rCvbmjpB77+DZdpk4mfMwVv/MXTFgKT6sEz4ASkxAdfzL6JcuYxksyHZ7Ui2RCS7HcOeXRhOHMdbqzaSx4tkS8RXpRr2IcMAUXcv8OsviZ+3UMgaeL1EvNadhNbtcD/1dO5lmt4l5Kir5KldBa1AQUEes2ENjb7q4/tep9F27qNRwE6eyL+TkIvHkHQdV+Nm7Ph0EQcOKPgWr8T890G+ie7JRTVZnyg0VKdaNaHGXaOGIB3paUMlPfvy2TPogUH+en/GLZvwPtbgX10sOZ2wfr2BvXsFMTxwQPHHTIFYLAQECCvwrRYli0XnoYe0NGSpSJHcl0J4QKByEP8lAiXZEglr2xzD8WMkjPqewO++Rr5xndiN2++svKrrWH4aj3zjun8AvBUpXXZq8RIkTJqa5TpZWW1P65fDCBwzCm/lqsQtX5s2YNPpJG/18iDLRO8/lqlB2bxwASG9X8FXsTKx67aALBMTA3PmGJk+3cS5c8kzUd68YnVToID4K1hQ82+L/eL/TEsnaRohXZ/FvHY19nfew/HhkEy3RUZI2aby+UhC+r+Gced21Ij8SG43kstJ3LI1aTRf7hUcDlFktXBhPc3PI8XGkOfRmkguN9Fb9+DIU+Qm4UkiQBIJCYL8CBKUTIRuJUYpP3e3GWf58ml06OCjUycvNWtmvo5ZRnA6k2Obdu9WMOJhWkAfXnBNxRNRCNvsOUTmrcmxYzLHjik3XwVhutWVGBGh0aTEaabvqco5SlGZvykXEcs3Ay9St3MRJKsFVBXzwgWpSU/Stj3x5j4bkt2GHB2NcvECar4I9Lz5MJw4JqyV8xYCYB0zisAv0x8TboWnYRPif18EiMWNZfpkbJ+P8Mcy/hfGU8OO7YT06YHj3fezJPKbhJ07FV57LYDLl2UaNvQxeLCb8+dlju504Nl+gJNnTax1NwBgOi/xEjN5ptLf5KlfjlpVXTy9oi8B9auj1qqFr1KV2wapR0QEE7N+G+Ftm+Fp1pKEqbOy/b1zErouFqKbNyscPZqc/ZaSQN08EkjeZzLplC+vUaeOSq1aKjVq3Hv9qAcEKgfxX3jgATEx9+iGedliHL1fB6MJ6w/fY393II4PPrnz5x0Oke6fkEDsph1p0tqNG9cT8vqrwmXX5knhsstk0VS7HfbvV3j0UZWCBbPYnrpO0KB38T1cAVfP3ukeEjj0E6w/fJ+lopHWMaNwP9aQnVI9pk0zsWiRAbdbBEG2bu1DluHaNYmrVyWiotJ78FMjNDSZTCUTLo2CBZO3CxTQyf/DcAK/HYmnSTPif/09R+ISUq5Cw5s3RLYl4m7XgcThIwgc8y2+cg/h6vnaXV8ns7h2TWLXLoWdOxV271Y4eDC5orrVqmOxCMueosAXsf3obp/AkIARfOV7P81KNLMIDNQJDk76E6b+pO3gYB2fDzZuVDh7VsFo1Hn6aRHoGh6e/LmgIDhwQGbZskDmztWIjhZEulQpjY4dvTzzTNbTtY8fl5k5Uyg7x8dLSJLuL6URHKRR+s/veW7fYFwE8CKz+JNk+Q6rVUwmFSoId02F8irVOUCBnUsxrViGrhhYUWcwXX99mqG2AbzLaDoU3cnjb1Xl2U5uipcJR7rDeKxbLGK2c7mQAE+1GhAWhrdmLT+5N+zeiXH7VvTAQGHlCAoW20FBN/8Pwrh9K3jcuLvdnnD8Z8ZTj0dYb7JgfdI0GDHCxNixJjQNSpfWiYuDmJjkBZksCxdUzZrCnVWv5GUqJu5CbdsGZBnD4YOEN2vgP143GvFVroKvZm0RoF6zNmrpMn4ZmoiIYK5HxRPS62XcT3UQlr1/yeoUHS2xebPChg0KGzYY/HIHIMQ1S5fW0sQoFS2qceaMiO86cEBm3z4R75Q0XkCyNU64/oQ1rlCh3CNVDwhUDuK/8sAbN6wjrHMHPI81wDbsK8JbNUYrXJSYzTtvryxtt4tIRIQWkxYU4jcDA8JlN2oE1u++zrLLTtdFraUhQ8xcuiTTsqWP33834HLdRXtqmvhL4V+Rz0eSp041fDVrEbd83R1PYbfDH38YmTbNyOHDCqBTurRO9+4eunTxplvPyuEQZQuiouSbr1Kq/wXZkomNzbhdnmQxi3mKC4ZS9Kq+A2vR8DSWrCQrV2ho5sdBfx/VdYL7v4anYWNBJO/BQJq00ty5U2HXLvGX0oInSTq6nv591GAfe6jNCR6mGgdRZSMWiyA8YWE6+fKJdilSRKdYMZ3wcD0NMQoO1gkMzJiHejzwww8mvvvOhNst0bSpjxEjXJQsmfHQERERzOXLiWzcqPD770ZWrDD4tXKqVVPp1MnL00/7MgwEdjph8WID06YZ2bNH9FOrVXwfhwN/HbUktJcXMVvvSqBuZ2XDoUT1eI8KFTWKF9eRfR6M27ZgXrEU08rlKJf+Ee1uNOLs0Qv75yOw22F6k3m0jZxAN2ZwggqEhen8UHMi9ZubCC8WlIbw6EhYZk7F+uM4JIcdtUBBlKir2UqwkBITyFOnGqgqMXv/vq2b+L4fT7NQ9slmg4MHRczSzp0KGzcqaSyfJUqICV/8aVSpoiYNtxleXzlzGsO+PUJOYf9eDH8fRvImF77RQkJRS5bC26gJ1rHf/Wvt6fHA7t3JhOnQIdn/rOfJo9GwoUqjRiLeqWxZLbNqDzgccPiwIFSCWKWNB8ufP5mEVq8urpEnh6TsHhCoHMR9/8CngHnhAjyPNSSkZzdMO7YRP3temmDFVMfPmU3Q0I+J+3NZxpluNpuwTHk8JPw8LdMuu1OnZD780MymTQZMJp1y5TSOHFGoUgWmTbNluVI5AD4fwe/0B00jcdyEVANdSNdnMa9eSezqjSKLKx2cOCEzbZqwBiQmSiiKTrdGZxl18Xmkr4agNsxe8deUcLuFBeZWssWp03y+vD6K5qFt2FY2xNXIkFiASIG/lVwJa1aylatYMY18+9YSdngv19983/9Z46YNKKdO4OrRO8dJlMslMoN27RLWpV27lFSkMSREp2JFlYQEiWPHxIBas6ZK374eihbVCA4W3y0hTqPK6y3Id2oX37dbziq1mV/DJkn9OCUkSadw4dS6NUkifxmlZG/frjBwoJmTJxXy59cYPtzNU0/57tgktz7zNhusWGHgjz+MrF8vynvIss7jjwsy1bq1j5gYiTVrDCxcaODQISXDDL4iRcTqu3z5m1alChrlymlYTx0mtNtzKJf+wdW+I57mrTCtXYlp7RrkxAQAtNAwPM1a4GnzBJ4mzVLFJlrfe4fAGZNZS1P6hM/hhp6XuDgZRdFp185H794eatfW0pZeyReB/f3BuDp1Jm/tyqAoRB84TlaD/4xbN6PlyYtaoWKW2vZ+ghQbQ3irJjj6vZVGM8/thqNH5ZsZcWJyP3lSTvMM582r8fzzXh5/XKVatexlgaWB243hyGFBqvbdJFVnTqMWL4Fy9AjXHTmjjn4nJC2WNm4UhGnrVsW/sDAaderUUWncWKVxYx9VquRsnbukjESRlShiqq5cSX2BLJPVDPCAQOUg7ucHHl3HtHQxntZt/RaZpKBqd9t2JEybnf7nXC6CPhqEZeZUtJBQEn6Zjrdx01SHSNHRohQFNy1TefNlymVns8G335qZONGIzyfRrJmP4cNdFC+u89FHZqZONZEvn8aMGU4xoGcFdjthz7QDTSP+979SrXSN61YT1qUTzudfxPb9j/79Hg8sXSqsAdu3izYqWFDjxRe9dOvmpdg/Owjr0BZnz9ewD/sya/eTWdhshD/RHMOxoyT8MAn3s13w+UQts1stWVeviiKcSfuvXZNSmbNTQkblsKkWD/mOMuHtQ5RqWowqlXwUbvsYyumTxG7cIQqp3gWioyV275ZvuuQMHDwo4/Ek30/x4hqPPKJSt65K4cIaixYZWbDAgKZJVK2qMmiQm+bN1TSkxfzbLELe6ovrqadJ/GW6f7+ui2umV1ri/HmZK1ekdIlncLDuFwEsUEDn0CGZPXsMSJLOSy95+fhjdxrtl4yQ0TOv63D8uMT06SZWrTLwzz9JA3jqOA4QJLFCBbFCTiJKFSqot70HKSqK0M7tMRw76j+bWrwE7tZt8bRqi7de/QxdSpItkaB+rxGwfAlnKUXviD+o82p5Fi40cuyYsLK+WXYxnzo+JM/lo+hWK47X30hVeiVwyGCsE8ZnOWM3Dex2EYuYjlnwfh5PjZs3EvLKi9jfHcSh5m/6pQP271c4ciR1vw8MFG4lVRXCkpIEH37o4Y03PPekQK6UmIBusRJRKDxX2/N2brmHHhKEqVEjH48+qiaVE7xniIqSUv1GBw4oxMUl/0ZJ7tIkK1WNGioVK2p3XBs8IFA5iPv5gQ+YPoXggW/jeGsA9o8+BSDw40FYZs0gZsuudDOa5PORhPR8CeOhA3grVyVh8gy0UqVTHWMZNwbrmFHErViXacE+XYeFCw18+qmZq1dlihcXaeEhITo//GBiyxaFpk19lC5t5McfRQzM2LEunn7al6XvLMXGgNGYVkVb0wh/tCbKlctEHzjGBXs+Zs40MmuW0e8yadjQx8sve2nVypdqHlJOHBfZeLnh8tJ1gl97hYCFf+Ds2RvbV6Oy9HFNE4OYIFaCVEX/4+ZSjJUzZ2Rce4/jsXnYj1AwNxh0Gpb9hw4FtqJ26ECNGkI4LjOhVroO584lxy/t2qVw6lTyB2VZp0oVEeCZ9FeokM758xKjR5uYO9eIqkpUrKjy/vse2rRJ39ojxcWKwHGnk5itezIsRp0eXC64ePHW6u/J2+kVN01ZliI91eVbXbYREcGcO5eYKqD7+HER1J0ynuVmq5GSPJnNIoaue3cv9eurd5xMzX/+jnXsaBImTxcliRITCe36LN7GTXG3fgK1REkyvYzWNKyjRhA4agR2rPQLmkaX+W1xOCRWjj7FxC3VUZGZY3mFS70/ov3r+VK5PZTTp8hTvxbObq9g+/b7zF3zFsjnzhLa7Tnc7TviGPhhmvf/1fFU15FiYlDOnUE5dxbl3Fnks2fxnLrI3NdXceiIiTN7E9j7t5XrtmTZBqNRp1Kl1NaN0FCdN98MYMMGA4UKaUyc6KJevdytZZcecro9k9xySVamgweTrWzh4TqNGvlo3NhHo0YqRYrcX+VbdF3oRiVpZx04IHPokJKqVI3JpFO5crLbr0YNjbJlU4+PDwhUDuJ+JlCSLZGg997C/vHQVGRJvnI5XW0h0+oVBPftjRwfh7PrS9i+/Cbd+Cjzoj8IHDaEhKmzMpW5dfy4zODBZrZsMWA26/Tr56FsWY2ffzaxf3+yqFqSybVQIY3oaAmPR+K999wMHJg9HRvjjm0op0/5iwSbfxhPyNDB/PzQSPqcHoimCWHELl28dO/uyVQAsHHHNrHSzyEETJtM8Pvv4K1Tj7g/lmTZNXIrTIsXEvzBe8TNW4haqTK6DvHxwaxZ4+TvvT52HbRy+HBq/RSrNSkIM3kSKFZMx+uFQ4dkf+zSrl1KqvicwECd2rUFUapbV6RUp1xlXrokiNOvvwpr48MPqwwc6OHJJ323JQ5BHwzAMuVnbB9/hvPNd++qPZJw+rTEe+8FsG2b6INt2/ooXVpLRbauXk3/pkJDk8mV2y1x8qSByMjUx0iSiMMKCxPB5ZcuJQXxCpfNI4+obNtm4M8/Df7rFC6s8fTTPjp29FK5sobkcWPcugnlwgV/weyAX2cS9P47JPz0C552qauYGvbvJbRrZxLH/ZSmYvztYFryF5Y+r2Hy2PlJ6U/eWV/RpJmO4/NxTL3chlErqmO3S1gsOs8+66VXLy8PPyyswXe7mJBiY0Qiwz8Xif/td7xNW6R6/56Np3Y75sULUSIFUVLOCrKkJManOdSDkZJEcoXCSJIIN0gKVq5RQ6VSpdTxO1u3KvTpE0BUlEzz5j7GjXPljKsuG7jb9tR1Uf4kycKUnluuUaNkt9x9qr+bIXw+UQcvZTzV0aOpM1uTrIk1amj07u2hatWgBwQqp3C/ESjl6BGUfy7gaZlaO0hKTMg4eFNVsY4cTuCYUegBAdhGfIvrhW6pDjFu24KvcpXkuAqn8/bB50BiInz9tZlffhGWh+bNfdSq5WPuXBORkTKSJCayfv081KqlsW+fzG+/BTJ3ro7bLfkDjJs29TJ1qivzUgAAHg95Hq2J/M9FLn0zlYlxXVg4zcYv/7TlWwZwpmYnXn7ZQ/v2vkyf1/L9twQNH0ri6PG4ur6UhZvJGFJMNEEff4D908/RChTM/ok8HgKHfYJ10k/o1kASJkwWrltEH41buIzgfr1JmDAFZ61HOXZM9pd82L9fpBCndH0ZDPrNePzkfYULa9Stm2xdqlBBS1cL6epViTFjTMyaZcTjkShTRmPgQDft2/vuOMAqhw8R3qIhaukyxG7YfteE0uWCsWNF5pPHI9GqlY8vv3SlG2PncCRbr86ckTlyROb0aYV//pGIjk52lYaEQMWKPqpVE243q1Vnxw4RA5XkImjUyMdLLwlrZsqvoKoi9mrBAgOLFxtREmJpyzJeDFpIE89KzB4busXCjWPnhDil3Y6ka+nWJTQtW0JI314k/Dz1trGM6cG0chkh3bogAYulp7gxehJPviCsKgkJ8OuvRn75xeSvE9akiYiTatLkzlazO8FwcD9hT7RADwwkdvWmVCK4OTKe6jpy1FXwePzntkz6EfOcX0mYOQe1cFGunkigasNky6YbM6cpw2nKcopynKYs5w1loGxp8lQrQqWqULmyRqVKGStmqyqMGWPim29MSBJ89JGbvn2998RllxGy054xMbBpk8FvZUpaDACUK5ccx/RvuOXuBVyutPFsp06J8XHwYDfDh5sfEKicwv1EoEzLlxLctxeSrhO9+xB6RIR4Q1UJa9UErXBhEibPTBUnIV2/TkifHpg2b0QtUZKEKTPxVamWfFJVxfrd11hHjcDdoSOJE6fe8T50HX7/3cDQoWauXZMpVkyjbl0fGzYYuHFDlKbo3NlL375prT4REcEcP25j9mwjU6YY/T71wECdTz5x07WrN1PZGroOx349TO2BbTD6nLRjMVusLenY0cvLL3upWjXrgZXy+UgRMO9wELdgCb669bJ8jtyAfOkfQl7tjnHvbnwPPUzC5JmoD5f3vx+hO1GrVkOOvkHcouX4HqmLrsOFC8nuuB07FP8gIZA2bqdEiaTMFrEaq1pVTSVAHRUlMX68iWnTjLjdEiVKaLz3nlDvTo9o2e1itb5unYFjx2QCAuCtc+/SPnIco1ouJbJccwIDdQIDdaxWUr2mt89iSW0Y2bxZYeDAAM6elSlUSOPLL920bZvsNkxMhMhI4do7d072F1uNjJS5dClt3axbUbSohqbh76P58mm88IKXrl29lCqV8dAjR57DvGIphuXLMe3chqwJ185pyrCI9px8+AnKdK/LU0/rd7RcpIxFlBIT0AMsGafW39T80kPDhOu418t49h8n5OIxjlCRzQPm0WlQslq/qorg+EmTkuMDy5ZV+aDdQZ6Jn4xnyJA0CuSZRcDMaQQPeBNvtRrELV7p12fL9HiqaciXL/ldban+Is8iOZ24nnqa6B+nc/KkTODIL6i+9nveqLiK+RcfIzZWojvTOE8JTlMWZ3ghKlYWJKlyZWFVKldOy7RKwbVrEq+/HsDmzQaKFNGYONFJnTr3Jnj7dshMe3o8sGdPchzTrW65hg19/limokXvL7fcvUJiorDElS+vUbz4AxdejuG+IFC6LsTsvvoc3WolYdzEVGVIpOhoQnp2QytchMQff07ef+0a4c0boFy9grt1WxLHTUhVbkWKiiKk76uCXBUrLoQxaz1y21v5+2+RXbdzp3CVVKmicvSoMPuGhuq88oqHnj29GaZ4p2xPMYArfPhhgN/tER4u5AReesmb7sOcmAjz5xuZPl0ExzZgE6ukVsgGmWuzF2FuXFcc6PFky7phXLeG0K7PolsDiZ+/MMtCoQC43YS+1AVnrz54mrfK+udvuZ+Qvq8ix8Tg6vgsiaO+J9WyUNOIeKkzrFrFqV5fMK/EAL87LqXLymrVqVkz2bpUu7aKyyX5LVRJfykz6hQlWYfoxg2Z7dtFmnaxYhoDBrh59tnUsWS6Lszla9cK0rRjh5Iq8PbmUTRkE5vIesajJAkyZbF7IxuaAAAgAElEQVTouFzSzQKqQjG+QAFhUXM6weGQSEgApzN900DevBrFimmULKlTpoyIgShVSsRG7dol88svVrZv11NpUgUEiPiPZs1Umjb1Ubz4LX1T07CO/ALzimUYjh317/bWqo279RNEP/YEC09UYsEfIh5Q1yUMBp0mTVQ6dhSZfLcNdfJ6CX3+GdA1En6ZnlqnTdeF2/2LoXgeb4BtzA/J7/l8uN74hGILfmAlLVn17l8MGpTWZX7okMykSSb+/NPAEO8nfMxwpreYQtWRz2ZrUo2L1ZF79afMppn8EdGLfsoEDAYwmWRkWcVgAEXWKa5FEiIlEhlSBYMBWt34lZcujqCQ6ywmzZ3mvHYlmIvmMpyTy7JBb8QoZz80TcKEGw/iec+TR2RsFi6sUbSoTvHiKnnzCt5pMIjYdqNR928bDEl/Qug1KEhoggUGiuLQW7YovP56ANeuCSmWsWOdOZYyf7dIb366nVvOYEibLfdfc8vlNh7EQOUg/nUC5XAQ/E4/Av5cgFqkKPEz5qBWqQqAlBAv3HaSJJ4apzP1ilHXCXq7H2qZcjj7v5Uq7d+4aYMQxrx+DXfrJ0gc++Nts+zi42HkSDNTphjRNInChTWiooTbo3BhjT59PLz4oveOJt+MHvjPPjPx009mkiwjsqzTsqWPHj1EVe+jR4UEwYIFRux2Mfk8+aQICm+UsITQV14QxYcXrcC4bTOBI4cTu2pjtupAmRf9QfBrPdCDQ4hf8FeWFbwNO3cQ9kw73B06CbmF7EBVsX47Euu3I8FoxPb5CBE3c3Pmc7mEqyho3CjabvmUFXJb2mqL0RG/cf78qd1xlSvfebWdFISZRKZ27RJBmCmzAI1G3V+Pq2ZNlXLlVM6fV1i3TmH9+pSZaVCliiAbTZuq1K7lw6dK2O0SdrsgOcmvqffZ7RIOh3i12SRu3JCIiZGIi5O4cYObMgeCPN1qRcsOUhKzpBiwfPlEIdSHHhLyG+vWGVLpW1UsbadPudWUbVaEip3LY7VCWPOGGE4ex9OwMZ5WbXG3bJNaU+0mrlyR+PNPAwsWJOmQCYLbpo2PZ54R/T3Nb+VwEPL6q5iXL8FXugwJs+ehlimHcftWAj/7COP+fUIb6tU+2D/7Ik0MU8KEeXSd1JKd/xTjpZc8jBzpTnfijIqSWDg+ipO/HuTXxKdAUXjyyWQZhIxCoy5dkvyWzp07FY4dUwjAyXYepToH+Tb0MxLkcIp7zzDF9BrHKY/PC1cSgzgpPUwtaR+aJtGNGYzlTb+bLaXL7TRluU4EOfGbZxYizEBsR0SIODhBsJJJVtJ20v7AQG55TX7fbM7ZXJWk8TQmBjZvNvhJ061uuaQ4pvr1/zfdcjmJBwQqB/FvEij58iVCur+A8eB+vI/UJX7qbH89ONOKZQS/+wa2YV/ifuY5/2ekxATMfy5ILkFwa6HWFC47FEUIY/bum+FTrWkwb55w10VHy1gsuj/TqUIFlX79PHTo4Mu0sed27bl4sYF+/QJwuaBwYd3vOjGbdX9QdNGiGt26eXnhhdRWLvPcXwl5ow9qgYI4+r6J9cexJI79CW+TZpm7sVtg/n0uwf16o4eFEffH0jTFlO8E5cjfqKVKZ8sFIt24QcjrPTFtXC8sg5Nn4KsusuxcLpg1y8j335soF7WVDTTmCoV4tuxeyj0a7g/4LlEi+0q98fHw008mJk0yYbNJ5M2r0aCBisWic+BA2niqJAQECHLVrp2Pp55KLTQZ+MkHSB4P9k+Gpon3sdng3DnZ716LjJT8mlD//JO+q81sFsG+JUsKa1LBgsISlSePENd0OpNJWEpClvyalqzZ7RLFi2v07Wugfv3ENH36wsE41uyNYP16A9KGTfwfe+cdHkXVtvHfzNZsOmmQkFASCL1K8UWkKWKhC4qiKCqgYkVRAbGB2MtnQUGaSpNepDdBeu8mkNBCSSE922fm++OwuwkJTYKv+nJf11wzszt7dufszDn3POV+ljo68DXP8orpK1q2VOjV4BCNO1ckoaHfVfd9crLM3LmCTJ044SNvXbqIMjIlSIuq4v/+u1j+7zPUkBBcTZthWr0SAHu3HhS9MbJURm1xpKdL9OnjR9CBLbwdO57aqz/CFFJ2gKDdLrJqv//eyMGDgmk1aaIwYIBIEjh2TPaSpa1bdZw65Zuw/fx8yQcdqh6h47DbSgRv53873jtmGd9+m3RnKL/WeYUDB2QO7oeDh/QUFpW0HoaFqdSs6bMWVqsm/nNNE3XU3G4RMKwovtpqiiJec7lAUXzH+I6Vir0PLpcoGF1UJIj6zp06cnNl9HpxXblcolTQpTS+rgZ6fWni5XFZFydhZZEzi6UkSTtyRGbbNgtLlyrs2XPTLVdeuEmgyhH/LQKl37GNoMceRpeRju2hRyj88DMwmZDy8wgY8TrmGVOFzH/NWuTNmIsWFYV86iShbVoiFxaSN2U6zrvvLdHmtbrs9u+XGTrUzM6dOmRZ805krVq5GTzYSfv2pfV9SsHlEnZyT+kBk0bmZeqU7dkj89BDfmRlyRgM2oXBSlgajEaRNdS/v4v69UvHH/h9/w0Bb76BUrUaOfOXoEXHlDrmWuDR1FLDwi4vNnoBuqNHUKJj/nTcCAh3bGj7VujOnsHRsZNwu4ZWwG6HqVMFcTp3TibWL5O9cmOCbecoXLQOR7OGV278CigogHHjjIwdayQ/XyI8XOWFF5x07epi61Y9a9boWbNGR3q6T/8oJERcF76q6xqBFNCwUjot49MJaNeYpg2ddHitFYrNxY+vbCf1tJ+XLJ04IZVS5vYgKkolLk6lsFAiKUlGVSX+8x83o0c7qFPn+uvTXQrF73ld6lGMy5ZiXPYrhm1byN66B7VKVZxWN4Uvv89CXTemHGrpJRkggvHbt3fTrp3C7be7r0p/StNgxw6ZuXMNLFig9/ZJlSoqPXu66NnTTY0a4po3zZhK4JDnkVwunC3/Q9Fb713R9e5Bfj6cbt6X/2T/ynMN1vDqvMYElo5fB0TtS92+vawy3sNnnxnZvFkH+JI/PKhQQUhbtGwpyHuDBiWtnfqd2zFu+I2c0Gqk+dVndVoVdiUHc+iQCN4tbuGUZUGM69YViydeKTLyr5tXfvtNuOyysmQ6dXLx5Zf2ElIXDoeI7ysslC4sPmup53Wxf6VjxLq0m/vaUNwt16aNmwYNbrrlrgf/CAKVmJjoB2wFViQlJb2SmJhoBj4BTgM1gA+SkpKSL9fGv5VAmX6ZTuCQ58Hlouid0V4LkWH9OgJfeAbd6TSUipWQs88jOZ0UjnwP2+AXMC79laABj+Fs3Yb8KdPBYMC4ZDHu2nXQpZ0iaNATF1x291Dw5bel6t15kJMDo0aZ+Plng3eglCSNe+/1ZdRdCVJBPuaff8Rv3LcUjv4I5z33gdtNRP0aOJo2I//nX0oc73bDypVC8HLtWl9EcuXKKl98YWXvXhH35MkaatZMoX9/8TRcPOjcMuZd/D//BHfd+uTO/7VEzNefgfnHSQS+8gJqRCS5C5ZeUphSysoi9M7bUSuEiaLH15FdFvDKiyhxcdgGv4jDJXuJ09mzMrXNqXxRZyztT0xBfz6TwuFvETDq7eu6RgsLYcIEI99+ayQnR6JCBZUePdwEBWn8vl7m2M5czmsVUNERF1bAsCo/0SgmnRrBmVismchZ51HTs1Azz2PMy0KvOL1tR3GODKIw4CSOk6SQ4H1PrxcukapV1WKLT6NpyxYdr71m5sQJmcqVVcaMsXPXXTdYa0dRiDh2GOv0WRiXL0GfnASAJkm4b2lO4egPvdbA4jh3TmLdOuHGXLdO740l0+k0mjZVaN9eoV07kdl3pawtlwvWrxdlZJYu9ZWRadBAxEt17+6m8vl9yFmZuNq0u2afkD3XzncP7+D97XdTv77C9GlWIot5GgsLYcd2mXYDG2ApyKCK/jRZjuKpaT43e8OGCu3aKQQFaV7i4CEGxd2wZ85IxYi3QECAUK0Xgd0iA65WLfXasnHLEYoCH39s5PPPjej18OabDgYOdN3wikhOJyUIVnHi5bGSXkzCCguhYkWNrl2N1K1bcNMtV474pxCoT4FwIPMCgXodUJOSkj5KTEysD3yblJTU+nJt/BsJlH7rFkI7dxQK4eMm4Wp/BxQVEfDeSPwmjkeTZbQKYchZmagRkRQNHYZ+1w7sjz2Bu3FTcSfKsjdFOrxuPJLVimqxINntWF96BevQ4WUOuqoK48cbeP99ozcA12DQ6NNHZNRVr37l7pZPp+E3bizmn6cgF+SjWSwUjngb+5ODkDIyCH/paaxV4yka/REAri/Gk7b4AN+mdeGX7I7YsNC8uZs+fVwsW6Zn+XID1aurTJ1qpWpVjdWrdUyaZGTNGhGIGx4uVMW9QeeaRsDQl/GbMgFHuw5g8Sd/4k/XFXhgnjCOwDdeQYmNI3vjDm9GkRduN8EPdMe44TeKho3E+uIr19S+lJ+HadZM7P2f8sazOZwS06YJ4nTmjIzFovHUo4V8+nNldIX5qCEh2B5/EutrI4iICr76a9TpFMQ7KwvX2fNsmJvDjqW5WKxZVNJnUMWSxSp3Wz62DgZgCv14lB/5cNAfNOlRmYZx54msVaVUs6p/AFpYOGpYBdSwcNSwcPIM4axo/ApbjkZx5oxE5colyVJMjFZm9l56usTIkSbmzTOg02kMGODi1VcdN3aScDrx/3gM5qk/ImdlAqLQrrNNe5yd7sFxZydf1usVoCjCkrp2rbDa7dole623YWEqbdoIMtW2rXLJZAsPiopg+XLh4lu7VofbLSxAt92m0LWrmzvucBMd7WtDVfFOusWtIRdv5+dLLFmiJ/mgwnL5HtZF9WKi7imyswXxAYlhjGY0IxjEWL5n0J/qVhAuvbAwIUbZvLmeqlVt1Ksn3Mx/lQSA0ykEabOyfItnX6xlUlMljhzRERenMm6cjSZN/vtZdqVQLCTD/92RWIryKIypglI9ASWhBkrVaqXHp5u4JvztCVRiYuIjQBHQAAi4QKA2AMOSkpI2XDgmH6iclJSUf6l2/o0ECk3D8umHOLr1REmogX7bVgKfG4j+WCpqSChSXi6SpmHr0xe1YkUs349FshbhuPs+8qdMK9lWfj6mJYswz5uNYf06JEU8vbta3Iq9W08cnbt5Y6qWLdMxZIiZzEwxopnNGgMGOBkwwHVV5nP9vj34ffsVpoXzkNxulMgosh4cyJyIgSzYEMnBgzJt27oZNMhIjYR8Nm3WM2mSgcGL76OjtgIAp85MQbO2GHt2wtmxE+6oaN5/38j//Z+JkBCNiRNt3HabOIdjxyQmTzYyfbrQ5ikRdN7Kid/s6ZiWLMa0fAk5S1dftYvjUvAbPxYlujLOezuXes//nTexfPMljk73ivI51zgrBA7qj3nubPImTaXwzs5e4mQ7ncOL+q+Jbl+DWz/vQkSEht93X6OGVhBV1/38oKiICOzkHDmBu14D0OuRcrKxfP0l7pqJOB54CBCWOb8J45HzSwsJXozZ5oeY230y7du76XLqW4K3r6PwvTFCc0dVMc35RZT2CRdESa0QdkXNsKuBqsKPPxoYNcpEfr5E06YKH39sp169GzuRyennhEzE1s2o4eHIXbuS17YjztZtrssd60FOjgjwXbNGBKMXz46sX1+QqfbtRWZkWYZLT3mbXbtkFizQ8/vv+hJ1wDwZZapKqWK2V0IdDrKe2wkjm695lpf4DE1nwGKBBP8zbD1XleP+dXj+tu0EBEoX4nWE9cjPT+PECZlNm3QkJwufUUyMygMPuLj/fjFuWCwl6n6X23jqckF29qXIkGeRva/5XMyXhl4vrOwff2wn5PoM1+UO3eFDBLw+BEfnrtifFGQ2tNUt6I+UdNJokoQaWwUlPh53fAJKfA2U+ATcDRtd0uNwEyXxtyZQiYmJdYC+SUlJwxITE9/GR6CSgAeSkpL2XDguDWiblJR09FJtud2Kptf/C5y9R4/CjBkwvJhlyG6Ht96CTz4RI2NgoAhSqVkTHngApkyBkychIgJGjYInnihZe2rdOujXD+bOhaZNITMT5syBmTPht9/EqCzLZDduz8cnH+T7zO7kUAGLBYYOhZdf5pKxEV6oKixbBp9+CmvWAOBIqMvqRkP48NRDbNhm8mawBAeL4GQQ6cSe4uKN6iuMvGsr96iLMC1fBAcP+tpv3Bg6d2YRnbn//SaoyIwdC08+6TvEZhNd9803sHOneK1mTXj6aXiyykoCenSEO+8Uv7O8HnftdqFGFx0Ns2ZB797iS7dt46oLrhXHyZMo4ycyMXoEo8fInDwFZj+Z1/um8eaEKkitW8PatZCaClu2wObNYn3okOiAYu0QGyv+68hI6N5d/P8AH3+Mc+JPHM0J51BWBOeUCDIRy3k5gkr1I6jfPoKW94VTp3UYkqEM09ANxL59MHCgOK2gIBgzRuz/JbEcCxZAt27ivvrhB26kqUvTxCW+bJlYNmwQ1hEQX9ukCcTHiz7IzIQjRyA52XfvFIckiUtaKebV1OvFXx8bCwkJEB4uBEQzMuDUKUhJKdmWxQLNw1P58mQ3GrCfnAZtCF01S4wrAL16wezZsGkT3HrrJc9rzx748kuYNk2cT0gIPPUUDB4McXGX/JgXbjecPy/OOSPjyuucnCu3qdOJ84+MFKcTGVly++J1cPCNqeb0p3D2rLh3n3hCWJTS06FyZWyPDGBbv284fBhseU4iCo8RmZtMWFYSoZnJBJ9LIuBsMqbscyWay/puNlqPnpjNYHntOeS4ykivvybeVNXyGxtv4mpwXQRqOKADnMAdgBGYC/Tkf9QCFdyzswiyXLgcd0sxSMmpKVRoeyvIMpLVimYwYL//AfRJhzHs2olmNGIb+CzWF14uUZXdA8OaVQQ/+iAFH3+Bo0/fEu9JZ89y6vMFMGMOje1bAdglNeHH5zcxdKjz6sTlCgsJvacD+j8OA/BH5fZ8pAxh0tm78cRHtGypcOedbiIiNDZu1DFnjuFCwKSIoZAkjdatFR580MU997ixWISYpXHlMkzLl2LY9DvSBaZlD61IR2UJG/Ib8/TTTkaOLJ2GvWuXzMSJRhYs0ONwSFjMCmnEEGpPxzrgGYpGfXDl81IUdClHRQZdWR3hdhP8cC90qSnkf/4NIX17A5CzfG0JccvLwmolYMRr2B/si7VRC2bONPDTp7ncdWYyA6Vx/HrXZ7T9+A6iKjgJfPk5pKxMDHt3I2dleZvQjEbcNWuhRURgjKmE1T8Y63MvCYuiqqLfsR1nZDTbzlVlxQod8+YZSqQ2BwRo3HOPi7vvFoHOVyTLNwhFRfDJJya++06o2Xft6mLUKMcVXVvXDU0TM/2FADrDlk24WtwKknRD73mrVWQcpqaKJTlZZu9emZMnZez2suv4VaokYoVq1BC6VdWri6ViRZFpWVQktIpWrtSzalXxgq/CRVY8izEyUqVlS1/Ad506IuB4wVQ7oS8/TU9tDoVhsTh/mY5SvwGG9esIub8L9t59KPj6+yueX0aGxJQpBiZNEjUodTpRjeDuu93k50vYbGZOnHCWshjl5JRdJPrivqhQQSM8XLgEy1p7lrAwlZCQfxYvkM+dxbh4AaaF8zFs3Yykacx6+BcW67qSnCyT+UcOKblX50YOJJ+aJHuXSTzOSaqgx4UVC9tpxh1+GzGZoL8yjmFFIzhhrMFJc01O+dfkbGAN0oNqkBUSj87fjNEoMl/NZrE2mQSvMxo922JdfNtoFOK31aqp/6gYrb+1Bao4LrJA/c/GQMlppzBs3oijW0/kjHRvcVX/N17BMmEcroaNUSMjMa1cDoCjczcK33ynlMaRlJEBsowWHi7avagmntsNv/6q58MPjRw9KthHvJzK6EYz6Ni3Au6+D4vvHfU2umOpFIz5xOviA1GWRLJaKawQy/r1Ouq+3osj5yswxjGEvTTCYtFo187N7beLWmgbN+pZvVpPQYG4XuLiVJ59VqZdu0I2btQzY4aerVuFpSMgQKNbNxcPPOCmeXOR3ScV5GNYtwbTimUYfl/P7qk7eOipcHKOZLMo/HGqjnkUXdeSJW1AuDumTRNB5w+d/IAxDGdq1AvkvzWGzp3dl1Q61x1JJujJfugPH0SJq4r1+ZewP/AQF3/A8uFoDLt2IB9LRX/8GHkTfixVx+xS0KUeJaj/o+gPHeBo3XsZljmEHhnf04O5GHGh6XTYnh5M0cj3QNOo0CARXfo5lNg4XE1vwd20Ga5bmgt33YXfVfwaPXNG8mbLrVunvyA2KSDLGi1aKLzxhoMWLW5cFtvVYuVKHa+/bubUKVF8+qOP7LRv/xcUZHU4CHz1RaTcHPInTys1y17vPe90ChX4lBRBklJShBJ6Sopcopq9B7KsERenUb26Sni4it0ugq4PHNB5SZXJJB5IPNl9iYni/8vLg23bfPpLu3frLkqz92llVaig0rGjeKhp08ZdqmTJmlUSSf0+Y6TrLVwGP2zfjsXRuRuh/2mK7nQa5/clXbUbyOHwySAcOFC2GVGSNEJDL02IIiJK7oeGav+q7DJVhXM7z+KasZCIdfOIPbUZGQ0Vid+5jVn04hd6k0EUsqxRtapGzZoKNWsKFfWQEA2z2UJGhg2HQ8LhEMZxz7ZvDXb7hW07BBScxWDLJ1mujd0OnTMnMTDnI+KUVPSUvP9UJE5QhWRqkkQiv9GGufS85nOtVk0kCXiU4OvVU6lU6c9LrdxI/CMIVGJiYk/gWYQF6htgPiIL7yyQALz/r83CczoJePN17A8+LAK/ARwOQrp2Qso+T87ydRBaARSFgKEvYZ41A8lux9WwMUXvjSmz2K3h9/UEDnoCpXYd8mbOKzEpWK0wY4aBb74xltBr6dDBzRdf2Es97Qf37Iz+wD7O7z8CRiNSRgau2b8SPvp1NofdQ6e8WdhsEhIq4RHQqZObJk0UcnPF5L15s86r4hwXp9Kpk5tOnYSIW1RUyf5MTZX45RcDM2f6LCTVqqk8+KCLXr2KqZFfCJ7My4Mfuy7l3UMP8GnkGNovG0zlyhrGJYtRY2KE6OWFu1JRYMOiAu4bVIN0NYJ4UqgY5qT3I3KZSudSQT4VWjbBXbsuhq2bkBwOlOgYrM+9iP2hR31xPopCUL8+mFYswzr4RYqGv3VVvibjovkEvvAscmEBSfo6VHCnE8F5AOwJtdFuaYLfjKkUvjUK27PPA0LOQo2Nu2QdPYcDkpMDmTPHydq1QsDQA71eqGkbDBp9+7p4+WXnjbfsXAXOnZMYPtzEokUG9HqNZ55x8vLLzvIIN7o6uN0EP9ADqTCfvJnzSgnIXs09ryiQliaVIEceq9LJk2VrV0VHq8THCw0jjyUpPl4lLk4rM/bJ6RTkaO1aETt1sVRCcLBWQpNLljXq1xcWJo8emMmksW6dsEytXu0rFu1Jfb/jDjd33OEjZDt3yvx0/0q+K3qEQAopevEVtKBgAt59k8J338c2aPA1dbWmwdatOg4elAkL04iP90OvLyIsTFiTykoi+LfB7RYCtUlJOmFJ2nuO+N3zaJ0+h1vVjV7StIHWzJXvZ3e1boTUqUjNmiqJiYIsxcerZcaGl+v85HKhO3EcXcpR5KNHkZKPIKccxZB6BENWOgBn7+zDnpfG43BIJPw8iuiti1j11E+khybisENYyjbOBtQkV65wIbtQIjlZ5sCBklUOQBB6IVXhI1UJCVdfXudG4R9BoMoD/0QCJWVmEty/L4atm3HceRf5U2d53wt89EFMy5dhe/pZit4eDYB+y2aCBjxG0bCROHr3KfW0LKem4PfDd/hNHA+yTNGb72Ib9CxIEtnZMHGikR9+MJCdLeN5Gk1IUPjsMwctW17iaf9Csc5zW0+x/GAc0tyFvHTyFZzo2cktjIt5i+BuramaIMQOly/Xl5i4mzRRuOsuQZpq1Spp6bhUf6qqcEPMmGHg11/1gqCV4eIDMSB98fxpJs4OQ4oI48fJRXTsVx05KwulYiWcd3bCeVcnnK3bgp8fAUNewO+nSUxt8w0tN3zOcPU9ZskP8MDtp3hffZ3Qbrfh7CuKK3uKMsvp5/D75v/w+3EiktWKEhmF7ZnnsT36OJZx3+L/wSicrdtg69sPy9dfkvfLfG/NshJQFHQHD2B5awTmjb/huWC9qkmSRO6sBbhbt0HKz0N3/BjuOvUuXe8MYWFbulTPihU61q/3pbmbTBoJCUIh3qOj1bevixdfdFKp0n+fOCkKTJpk4P33TRQWSjRrpvDJJ3Zq1/5rsp3ktFOolWMBkHJzRF25MmYlzzWqaYLseaxIgiCJ/ePH5TL1e8LDPcRI87raqlcXpOl6CWJ6usTatT6pBLsdmjZVvBpMt9xyeZVpVYW9e+ULZErP7t0+8hUbq9Khg8jqi4rSGP1QKuMzu5NACo427TFu/h0lNo6cTTuvK1Dov17Z4QbC4YCUFOGWTUoSGlfJyeLa0bts2BAXwNu8xVu8i4rE4fDbSGncA9s9XYhtHkXVqtdGIP6q/pQK8tGlpqCZzF49PP8338D88xSyt+9DCw9HyswkvG48AGqFCijxNXAn1MDRuw/O/7S+YFUVZMqz9ojHemAyifJRHkIl9MCUvzTE4CaBKkeUZ2fqDuwn+NEH0aWdwt6lO0VDhuI3Z5awYEgS5OcR2rkTuJzk/zwTpfoFzRyHo6QbSVUxrl6BeeJ4rxKxEhtH/ncTcDdrwcmTEt99Z2TaNANWq4ROp6EoEgEBGsOHO+jXz1Xmk5+qwq7tGmfGLqXxmi9oYt/C//EcP/Akb1ScyL2FvxBUeBaALCmCmVovZvAgO4z/oXUbjU6d3HTs6L6sleNq+rOgABYuNFzRxTdhgoHhw02Y9W7mP/YLrXMWY1y9Ajk7G7iQht66De56DfD/7CNcTZuhS05CK7LyfNX5zEttzFES2OrXlo3D5vLgg65SMeBSVhaW77/BPGEccmEBamgFNJ0MBiM5q85Za20AACAASURBVH/H8uUnWL7/Fle9BuTNWYgWWgEpLxe/sV9h2LED/c5tyEVFJdp06vxwNG2O9lhfnG07eF2ul0N6usSvv+r59Vc9mzb5yqskJCjce68OSXKItPRkHXq9kJ546SXn30aFeN8+mVdeMbNnj47gYI2RI0Xh6L8kRkXT8PvqC/w/HEXeTzOFNMhFsNth7VpBKk6fNnHokMKxY7KXnBZHUJBWpiWpenW1lFvsRkFVhXXnelxamZkSa9boWL1az9q1evLyfES8SROFrORcvj7/EE0sf2Bp2wTLkgXkzl2M67bb//R3/hsIVFGRqDWXlCQIklh0HD9e2vIYEKCxVL6XRPchvh5ymMRaGvVMyVRNXo2rc5dLWpavFv/1/vTM95KElJGB5esv0KUeRZdyFN3xY97Mb2frthS9MQL3Lc1LfLygAA4eFBZKD6k6fLj0w0mVKj5S5VlHR98YF+BNAlWOKK/ONC5eSNDgAUhWK0WvDUcNCyfgreFINivWJwdS9P7H4riF8wh+sh+Foz4QAprFIOVkY54+Fb9J49GdOA6Aq3lLbE8MwHFvF/YnmfnmGxFErSgSFovmnQD69HExYoSDiIiSXWa3i6r2axY5CF88lScLvyCBFAC2RtzDH11e4nT1Vvz+u57162Sa2DbyIDPoJc0mQhN6Oe6K0Ti79cDRvacQGbzMVX2t/VmWi696dZEq3auXi+RkmSef9KOwUOLVVx288pINw87tmFYsxbhiKfqkP0q056pdF/3RZDAY2DZqIXOWBfPVusbYnTr8/DR69nTx+OOllc6lnGz8xn+H3/jvkPNyyftxBs5O94CmEfRwb0yrluOqXZe8hUvRjCbCq0cjKQoKMjpUtkvNcFSvRaUhPQnq0faqolvT0gRpWrxYz7ZtOq+1oGlThfvuE1a5w4d1fPaZH/v2CdHG3r3dvPSSg6pVy//WcLvFgJeXJ1FQIFLD8/JE4d6CAs+25D1GbIvXPZNLz54u3nnH8ZcpS0uFBQQ+/wymxQtQKkWTP/Enr6SF2y2u/XnzhNXTE6sHQrvoYoJUrZogTmFhf8/YjeuB2w07duhYtUoEo3ssyjrcxHCaW6JOMif9doo6d8c6Ycqf/p7/+oR/DcjLw0uOiluUiodBeBAaqpGYqNAi+gT32uZgqRtHQN/7qFRJI+iFp5FPnST/hx/LtlJfB/7W/elyod+9C/9PP8C4djUAjjvvwvr6CNz1L105weUSBLW4tergQfmCF8WH0FDNq1TvIVU1aly/C/AmgSpHXHdnXtB18v/ofSEq+d4HmBbNx7huDZokIWkaSnQMOSt+EwHbmobu0MFStdfME74n4N2RSDYbmtmMvWdv7P2foqhmQ9au1TFhgpHffhPWmqgolbw8CbtdokEDhTFj7DRr5iME2dlC9XvZMj2H1mTR3/YNTzOWMLJxyiYO3fIQaxu9wIw9ddm+3TdxJyQodOrk5q67FG5p5MC8eT2m+XMwLV7o1RfK/34iju73l3t/Xs7Fd/vtbiZPNpKWJtOjh4vPP7d7w5Xk48cwLV+C39iv0Z05DYA7oQa6Y6loFgtFw0ZyplM/ps4NKqF03rChQp8+Lnr0cAlNGKsV/f696E6nYVw4D6VWHayvj0C/eyf+747EuHEDAM4mtzD5wUUkvtWPNrYVuJGZ1vILGnz7GBdyAy6LY8ckFi8W57hrl5jEJEkEEHfu7Oa229xkZ4sBZeZMA/v26ZBl6NHDxSuvOC4pdqppQmM1P99HfAoKKLYtiNDF5Kj4MWVZY64Es1nUpouN1XjjDQdt2vwFQeIXoDt6hKDHHkKfnITz1lbkj5+CEh7Jtm065s3Ts2iRr2RKdLRKt25u2rd306KFBYOh4B+VwVXeOH1aYvVqPcuXi/grRYHBfMVbvMe8WkMpeOo5OnQoKeJ5Nfi7Tvj5+bBkiZ69e3Veq9LFyukgxtaaNX1LYqJKbf8TVNo0H/PCeRh2bgfA2ao1efN+FR+6gTIBf9f+vBiGLZuwjHkP4+aNABSOeBvb8y9f9ec1TRThLkmqdCUKfIPI/CvuAqxXT6VOHeWaLMM3CVQ54ro6s6iIwBeewbxwHkpsnDdeRi4QygyaTodmMiFbrVife4miN9/xfdbpxLBrhzdg3Lh6BQGvvYKt/1MU9nqY9QcimD/fwJIlPtN7/foKublw6pSOkBCNYcMcPPKIC51OBDEuWyZI09atOhKVQ7zMZ/TlZ0w4sVrCWFt7EO9kDWb7CWFWlmURaHrXXW7uustNQsIlutvhwLhuDab5cyj88FO0oGCkwgKCu9+H/dHHsT/yWPn05wVcysXn56eRmSnTpInClCk2oqI0DBs34P/OCAx7dqOBqB24cCnGVSsIGjwQgPwPPsHRfwCKAr8vzGP8nIqsX6VQT93HbfrNdKu4mf9kLcJg97nilIqVyN6XROCzAzDPmoGjdVt0mzehdzv5nVbspjGPmH4hfdx0Ktx9eRHP5GSZxYuFpcmTsSTLogRInToidubYMYlDh3ReggeCWDVsqHLHHTpU1VGmBcizFBRQZmDz5aDTaQQHawQGCreV2NYICqLYduljgoJ8+5fKeLzRMC5ZTODggciFBVgHPMPWnqOZs9DCggV60tJEH4aFqXTu7KZHD+EW9sxx/5RJ6a9CQQE8+qgfRRv3s4jOvMNb/MBTANStKwLRO3QQMVhXCgr/O/Wt0wlr1oiSOcuX60uIkMbGCmuGL5BbZL95BDblUycxLVqAadE8DDt3AKDJMq5WrXF07obj3i5XrVx/Pfg79ecVoWkY1q/D/4P3KPzgU9wNGwMiLvjP9lVBARw65LNSeVyAFwvKxsWVdgHGxJRtSb5JoMoRf7Yz5bRTBPV7CMP+vbiaNkMNCcW0eoU3qVi1WJCtVlT/AGwvvIx14LMl1JyD+vTEuHY12Tv2o1aORXGpbN0iM2+hicWL9Zw/73tybtPGTXq6xJo1BiRJBA6//rqTtDQfafKY5CVJ45bGLlYcqU5IwWnOBCTwmfYS3xY9hg2LV4rgrrtEdk54+J/rYsOm3wl+oDuFz73Mni7DSU2VabruC6IsDtxVojHVrY5arbqI/7kOf0hZLj6A5v77mZc4lOhdywCw97ifoqHDUavHe4/xf3sElm//DyWuCjm/rgKjgbC6CShVqyGfOoXssHuPLSAAp2xiR7NBxD3cgogOdTD+vh7zxB8wbt0EQBZhpFCdFmynsG5T7FN/LrOgsabBoUMyixaJmKakJB9p8mj7nD8vldIFEkVc4TI6bCXgITi+hUvul0WOLJa/kbDg1UJRsHw4Gv8vPkEx+THzjrG8ldTXK9sRGCh0ibp3d9G6tVKmuf8fNSn9RVBVGDHCxK8/ZNIraDm6xx7kwG6Vo1tyOOYSgfkhIWLs6NBBKKuXNXb8FX2racINZLOJ9H2rVaxtNrDZJPbtk1m3Tse2bTqKinxkulYtUYOxYkVx7RsMGgaDECc1GMDizKH+tinE755LZKqwNGmSTFb92znXujvnb++MGh6J0ehTh/d93rdvMJSfQeofea0WK0ejO3iA0I5tKHptBLbnXyqX5t3usl2AnjnTg5CQki7A+vVVatdWiYy8SaDKDX/2AvUf/Q6WLz/F2aYd+j27kC/I/2p6PZLbjSZJ2B96hKLX30SLjES/dQu6Yyle0UvT/Dnod2xny+0vM3N9LAsX+kpAhIerNG2qYDLB7t06r08+JkalbVs3eXkS27bpyMgQr/sbnYyoOYMaCW721n+IzZv1RK2bTYHbj0V0JjIKb9bcbbcpf7qUkqKILJQ9e2T27tVxdFchSYfgjE1oxxymFrVIKvGZQjmQs5bqZAXHkx9RHXtMNZRq1dEa1ie4aohXGO9KlgyPi2/ZxExaLn2Px7RJIvbIcjsnnxvFLU838mVBFQt8tHzwHv6ffYy7Tj3S3/8a/ZtvE/rHNvIrJuBs3AxT22YcCGjBhPW1mTfPQETRcQYwjgH6iVRwixiwldzBXqkRL2qfY2vUgsA9glApFSuSO3M+au06qCqsXy8zbZqBdev05Ob6xA4v/JjLnp/BIAQVK1cWwZMxMSpRUYL4xMb6oWnWEuQoIOAvUvH+G0HKycb4+JMEbVrFKWN17nXOYz8NMJs17rzTTffuIsvsStf3P3JS+gugaZDa6RVa7h7HgwEL+azlDKJ2r2TV01OZdrINq1frvQ8xkqTRpInI7LvzTjf166u43eDvH0haWmEJUlOc3BTfv5j8+NZgtUrY7Zdu41qtrZdCFY6TThR2/Agji3MI6/xa2jGLXsyjO1lcu/VEpytJzvR6377ReOn3BAET+5Ura3TsaCQxsZCwsL9Hssi1Qr9lM4FDnqPwvTG42t8pXrRay6WEUnF4MmovdgGmppYkVe+9Z2fECPNNAlVe+NODqdtNwHOD8Jvzi9fq5Il5crZqTeG7Y1DiEzDPnYXfhHHoD+5Hs/iTtS+J/SdCmDdPz8KFvpicoCCN2rUVXC44cECH4lRowi7as4b2rKESZ0kninNU9C5L6cSpwDpEmfPYlVmFHEKoxjFUdMTFKbRtq9Cli4tWrdRrnmxVVVh/9uzRsXevjr17Zfbt05WIk5FljcRElUaNhAncePo4/mdPoT+RTEhWChEFqVS2p1BNTcGCrUT79zOLOYhYqu8YSI4xivGV3yYiQqVSqI2wCInQKAPh4UJwLyJCo9b2qcR//AKy3cbp4NoMyv+Ixdq9gERgoMjie6bWSprOGE7h+x+TXbslW7fIxH7wMq0PjGMjrbiTFd5040qc4T3pTcZWGUO3Cr/RM3MctU+tAoS1aRKPM46n0OLjeeOJU/Se3J0d97+H4+hp2s0bgslVhArMkB7mXW04SdS+RG+KJ96ICI24OOEyqFrVR5RiYgSJvNRT6//6hJ+VJbFkjoveo5oR60hhCXfTT/czDdsG0b27i7vvvjal9f/1/rwcdAf2c/jD5fRaPpAHjXP5xP0ikixROOYTbI/2548/ZFauFJpT27b5skWF9bR8zZmyLJSu/fzE2mwuudbpxLVx+rTktT7o9SJGpkkTYXGwWHxtmM3CMOJyCStGtSXf0+Knl1nx1FSSG3TH7ZaI3buEU9HNyDdF4HJJuFy+410u6cJa7Dudvn3xmlTsWLHvdPo+e/F7ns+5XFcmhDVqKCX0v6pU+QclOiiKMMlJEvLpNELb/gf7w4+KygrlHHRfUABpaTKnT0ukpckcOyZx+LCOEycksrMlhgxx8uabNwlUueGqB1NFwf/dkahRFbE98xwA+u1bCbmvI4AIFq9ajcK3R+OuVRu/yRMwT/8ZOS8XTacj6/YuzIp8hs+2tyMlVbAZPz8xoebkQEaGeO1RpnA/s2nDbwTh+125BBNCyYJZ4+SBDFS/AyCVqoSQSwVyAajPPl7kC85RkfP6KBwhkaiRUUiVIjHGRRESF0ClaKhYUSMiQr0g2Ki7QJgEWbpY5bpmTZWGDVUaNlRo2FCYRi9+kCirP61FGvlJ6dgOHENJPobuWCobajzGESWe8xkq0+YHcdjUiDsCt3D+vER/9Qe+YxAnieMo8aSQwFES0IChfMRo3UjmRw7A5C90RlwuySsq2YZ1rKYDIy2f8L71RUBCRmGa9DB1LMf4uc98arYMISPNRc9vOlEzczOTDE/xuGs8ABu4je8YxBx6UIskQsjlN9peOBOf6rMZKxu5jcqcIpIsVCRm04uvQ4ah1KlLvXoKTZsKS2J09PUJCv4vTvieoN958wysXy8m6mGMJqGyjfPPDeO+Luqffir/X+zPa8XixXoGDTLTWlnHIr/e+BVmYev3BIWjP8SjCpqXB+vW6Vm5Us/x4xJ+fhAcrEenc2E2+0jLpQhQWa9bLL59g6G0i9lmgxUr9MyebWD1aiHoK8sat9+ucP/9InO1TK0sVcU8eQLG39aKguCShO7gAQLeHo71uZdw3d72hvfp5aCqlCBrTqfEkSMy+/dbWLPGzfbtOoqKfJ1RsaJKixaKd/GU7Pm7w7B5I4FPP4nuzGkR3jLwaWxPP4cWfOXqzi6XsDKdPi2TllZyffq0WF+qqLQkCQv/Rx/Zefhhy00CVV642sFUysggtH0rJIedwhFv4+j3BAABr72MafYvWIcMRYmPxzxlEsbVK4UlqkIkv9d+gnfTB/HbUVFx02AQCr3Z2RJ+rnwe4SfSiWI2vQCNifTncSaTTA02GtuRXrcNSuvWOEMisK/bwe2bPuYu96/oUdgst+Ljrmvp2NFNz6WD0AqKWDvwR86dk4hYPZuHFj16yfOxYfZasg5TmyeYCEAsJ2nCTpICboHK0SQkCNLUrJmbatWEJehyZODPTE5STjZSXh5q1WooCrinzydw8ljMqX9gKiy7qmiGXJEjJLBE7cT7DAcg7AKR8cPOGXyxSSaTRpVKdmIinQRWtNDcvp7HNwwg2pbKHOMDPOSczGhGMJnHOIjIjnyMSXzLMxQQSDwpFFLaxGHAScVoeLXWAh4//T4Bok42jk73Yh0y1BtEeb34X5nwbTaRPTp3rhCCVBxuBjCOrQ2fpEsPjW7d3OUiGPq/0p/XBUVhz5wT9Hi9AeGFx9lSqRtRZ/fhanEreRN/vmRQ8I3oW1WFTZt0zJ6tZ9Eig1eOon59QZp69Li8Np2Uk03gswMwrVqBptORs3G7T4Pvbw5Pf7rdIq5y61ZR0mfLFl8IB4gkm2bNfISqSROleMjt3wt2O34/TcLyxafImRmowSFYn3mes70GcSonyEuGiluSTp+WSE8vuwIAiPOPjRXW/JgYlcqVfdb9mBhRVsYTD3kziLwcccXOVBRvsIlx6o8EvTQYdDqyDqVCaCg4HJh/nIRl/Fh0x48BcDK2JWPlwXx6ohcujMiyhtmkEW07SjvW8Qu9ySOECpwnkwh+ow3tWUuFCir31DpKaJSevMDK5JwsQtl3mOjsg/RhOu1ZC0BaaF3OPvQ80UN6Ygwoo0YEgN2OfOY0mQcyOLMzi/OHMrGmZsC5dCq40r2OwCjSSZJrc0f4bgC6503hO0d/+jOBSfQHYC1tqcRZL+HK94vCFhyFKzwKoiIxxEZhrBKFGhFJRKQFu916oTilIIyi8KQgMkZjyW2T6dIBl4Y1Kwl+uDfW51/G3bAxRXtTydlxHO1IKsFZx4h2n2A6fXiEn5EkjQ+01xjKxwxpsZat+ts4fEjiuZz3OEEVUojnKPGcJZqpPMRDzCCNGOrIf1CgBgCiDpdBsfM1g3mCieQQQn95Mgvp4r1xZVlDVaFkTJPGu7xJR9N6AkxO6uZvJb9CHFt+2keN2vJ1F9r8N0/4Lhf89puOuXMNLF2q9z5l16yp8G3YCDps/qBE6ZvywL+5P8sFmkZo2/8gZZ9n/Y+H6f1wENYsG5tq9qNh8hyUmMrkT5kmyipdhPLs28OHZWbP1jNnjsFbYzAmRqVnTxf33y+qIFwJ+v17CXq8L7qTJ3C2bU/+V9+jRUWVy+/7K3Cp/tQ0kXntIVRbt+q8iRQgxt0GDYSVqmVLkYVa4erKHN4QOByijmdxq1HWCSvNtn1P7+MfE6pmk0k4Y3iDsTyNHR/70+m0EuEOlSv71tHRYn1TxqAM/LcJlGHtagKGvUr+tz+gNG4CQOh/mqI/eoSCDz/F/rhI9VXe/5ywr8ewJLQPb2c+xx4aI0kacdoJ2rKO9qyhHWuJJQ2ArsxnIV0JCdF4qsIs0kLrkawmcCTFgD4/m0k8Tn32U43jJX5P9i3tkV8ZjKtdh1K2bU0T2i579ujYt0/2xi5dXJ+oenWfC65hQ5X69dwE6YrwzPK6Pw7DitWk1buTE5Y6nD0rcceH9xJx5gD+9ixkLv2XWPHjYaYyn+4APMh0zhPGSjpe9j/Q6QTJqq1LZrjzLT6o8CFZfrGiFp8tjRRXHAUFUonUVb1eIybCQbXIAkKqhRAToxK55GcaH5vPYNN4Xuywm3tO/0Di3rklvsuFDtCwY6EJOxnLM6ziDj7kdVpFJjEhvzeJ9n3skprQU5vNcapRqZLKffe5ue8+MRDpdLB1q8yECUZWrdLjLHSykjuJ5gyt+J26HMKfIhbTGYCnQ6fhVzUSa/PWJNYSgnw1a179Tf9vm/BVFbZs0TF3rpB28AjoxcWpdOvmont3N3XqqMgFeVg+/oCi14ZTnuXe/239eSPgP+xVLD98T97En/mjTld697Zw8qTE7Caj6LH7LTCZKPjiGxw9epX43PX27blzEnPn6pk1y+CtDRgUpNGliyBNLVsqV53hZpr+M4FDX0JyOCh6eSjWV9/4x2VeXEt/ZmVJ3sLT27aJecBTsxTEQ0lxt19cXPnEUWmaUL0/c0YqZTXyEKbMzEv/aXEheQw1fs5j2Z/j784nP6Ai+7q8RkHvfkRXNRAVVb5Fpm8SqHJEmZ2pafiNH4v/yGGgqmgGI+dTT4PJhJSXS3Dv7khpp/n6lSTmLLKwf2MRsqZgwk471tKetbRjLfGk+s6FcDbIbUkJbMB2YysW5rfD4ZB4i7cZxvs0ZSfW6nVpWNfBzCWhuPyDKahSh8yK9ThqrsfhkJZkhtdCkgR3slohI0Pm3DmJc+dkzp4tLYQYFiZMmXFxKnFxKrGxKoGBwuIjy2IskSTPtuZ9vfj7JfY1F+aCLPzy0jHlpMO5dNQz6UgZGZgyzxCSe4LlXcbyR3BDNBXe/SqK3IAY3um1B6cT6qYuptPBLznrV43T5uqcNMRzUl+NHDWY+898Q8/s8Rhw867+Hd5R37yuTJuvGMxgvmEkb3OGGOJJoSsLqMNh7JjowVwOUYcj1GAGDzKfbkzicYIo4ARx/Mij7La04njkLfhFh3hlAYrrIwUFgb+/RkqKxM51NpJ2WElTY9DpNOrWVYmOVnEXOpixsRqy5iaWUxThIwKVKgkdmlq1igv3KV4tmsteo/8waBrs2SMzd66BBQt8GacRESpduwrZgVuaKvhNmYAaEYnzvi437Lf8G/rzRkOX9AcVWjfH2aYdebMWkJ4u8cADfhw6pOO9FvMZdvBR5MICCt95H9vTvgLEf6ZvCwvh118FadqwQQj7GgwaHTq46dVLZPldU+aw3U7A8KH4/TQZNTiEgm/H4byz0zX9pr8LrudaLSqCXbt8FqodO0rGUVWq5Iujat782uKobDaYNs3Ajz8aSE0trcvkgdGoea1EZbnXoqNV77ORlJON5duv8Bs/Fs0/gPPb95V7th7cJFDlilKd6XAQMPQl/Kb/XCxkGKyPPcHZEZ+zdKmeqA9fJygtiScYz2mERspk+tGPH73N5BHEfuqTpa+I0y0TzRnqcYAQ8lgl3cFzicuoVk3l/pwfaJcyiaktPmOjuwUnT8rkn8gjrei/aG8tB0io9GIWGhILjL0wGuF59Qvesw65pBXLjoldNGEDt7FL34It0d2IiREE0PMU4llkWfMkdojvkyQ8kgEnTsjsm5HMbmd9tge2ZWjTFcRvnMYPrsdIlarzfLPfMUSHkZSk48wfhXygDWUQ4yjCwiFTI5o5NpX4XUnUZCstvMs+GuDiEq5ToDaH6McU3mAMsk7ijqCtNApOZUN0b9xuaJ6+GIdNY6atC/kFpUesiAhBpmrXFuTq1lvNREUV/GV12MoTSUky8+aJYHCPqnBQkMZ99wlLU6tWF8QZbTYCX3sZ84ypKHFVyd6887IFl68HNwnU1SG4690YN2/k/JbdqNXjycuDRx7xY8sWPY/csp/x9kcp+vZ7b/FZKNa3moZUVCh8tE4XktsFTieSiJBGcbjYs1Vh/WqNXVsUNjhbUEAQtzR1M7LGzzS6IwRzlw4A6PfuxrBhvbcN3G4kpxPcrgtr374aFoFh2xYMe3fjjo1DC4+g8N0xuFu0BCBw8EBQFNSYyigxlVFjYlBiYlFjYkQg898sta08r1W3Gw4eLBlHVdwyFBjoi6Nq2VKhUaPScVQFBTBpkpHvvjOQlSVjNousx4uJkYcwXS67+FKQMjLQpx71ikyb5s4CTRMVMMpBYOsmgSpHFO9MKTOT4F5dMRw64H1f/ACJE36JxNsPomoyFTnDMu5mJ029wdcf8Qo9mIsLI6HkEEVGie9xo+OEqSZJxnqsd7fiQ9sLZf4enU7zJLngdOJNEy6O8HBfDa+qVcXi7y+OVVVKLYpSfF8q8ZqmlXxfUaRSr5Vsq/R3KIpYXC4JSTKQn+/C6ZRwOMQ5OJ0inTc/X8KZbyey6Bj9XePoxxRCyMOBkfOEEUKuV+5gHt3owTwAXuMDnuQHHmQGO7kFgHtZzCliSaV6mQHeAKtpT3vW8iiT+YGnKMKfW9lMErUAiCGNhX69aWLbjDWuJraffkKtXRspIwPDrh3od+3AsGsn+t07veryAIrBxPkqjdjW4VX2V7m3mCK4OMdhv3emRfZyxhufZqDzazSKqYujkkQiNTjKXhowihHMpQcqV370Mxg0AgI0QkKEdbFiRZFZEhKi4e+v4e/PRevS20bj9c0RhYV4rZ5iLZGeLlNUBNHRIpDTZIL9+2VWr9Zz6JA4L4tF4667hKWpXTulhO6XfOokQf0fwbB3N66Gjcmf+BNqbNyf/5FXwE0CdXUwzZ1F0KAnsD7zPEVvjwKE5WHgQDPLlhlo1NDNtOl2wsM1LGPexTL2a6T168msWgs0jYio4Ct8gw9fPbKBFoMbUa2aRnhUMO7mLcldtBwAv++/IeDNN66qHU2nQ1IUbH36otSoScC7I8mbPA3nPfcBEFYjDjkvt8zPqv4BqJUro0bHoFSOxTbwWZSaiYC4RtWISP60iN6fxI28VjVNVEDwuP22btWTkuIbqwwGUQmhZUvhUt+/X2baNCN5eUI25oknnDz1lKtU/dVyhaJQ4Zb6SLm5ZO/YXy6yBzcJVDnC05m6vXsI6XwXst1W6phMwinEwgPMZDstkVDJJ4h8gojhDAD38Cu/Im7SNCqzn3rsp753+YNaODBzNcKKsiyy3aKixBIZqRIbq9Gop0SpOwAAIABJREFUkUKDBuqfVg//K+DpT5cL9u6V2bRJf+Hm1FFQAHezlI8YSj0O4tD5sbf9c8ivv0DFmoG4nBrutAyk1FQckpnchKY4HBA7+QPiFn7P2vdWkR2WgDvfxqNPh3u/s8g/guzQamQFVyczoBr7rfGsSq1BTFESPzAAOyZ0KLxafwl7w9qhaXDbbQpP5X5ElW9GYu/ek4JPv7p0nI2qojt6RBCqnYJY6Q8dIH/CT96BObjHfaiRkRR8NxEp+zwhPTqjP3SAgv5PM735J/w81ciGDTpAopHxIB+FjKZD5kxkTSUrPJGVzV9jQ8wD5BWJ0j05ORJZWZ4adTI2m4bbDVerUn4p6PVlEyyzWZB3kEQmpFsEftpsQuwwP18iN1e6pKm+bIh09Lg4EXdXvbogWLGxPqui+fe1BA18HDk7G1ufvhR++NkNn6RuEqirhMNBWCNBhs7v+cP7v7jdMGSImenTDcTHq8ycaaXmyu8w/zIdw5TJZFasCkDQo31AkihyGTlx1kjKSTNZBSZcGNCZDVSrqaNGXR0V4/Q4+vRFvaDqb/5pMmpkFM677gZEvUt98h9oBiMYDBfW+hLbmsGInJtDUL+HsL48FHvffj5F7OJPDC4X8rmz6E6nIV9YdN71aeTTp5BzBcHKWbpaFKbWNMKrROFOrE3uyt8AMKxfh3HFUtToyigXSJdaORY1Mqpc6+L91ddqZqYvMN0TR1X8IV6nE8HpDz/spG1bhdjYG69HJZ84jv7Afpz3iphSw29rkdwunO3v/FNPgzcJVDkiIiKQgqHDCPh4zEV5VWIpric9mX70ZzIAK+lAU3ZRibM4MBNEHg3YxwHqkUtomd9lNntIkXqBGJXc95CmsLDyDZr7K2C3C9X0ffssrFzpZseOkqKb1aur/Kz04dYTv6DJMvY+fbEOHYZaKfrav6ywEL8fJ6E7noru+DHkE8fRnTop3AMXweOGfZpvWRL+CMvuH0vEs91FJo6qYly2BOfd9177jWi1ioHSbAankwr/aYpSOZa8+UsAMI8bS8C7byI5nTjbtKPozXc4HlSfX+b6MX26gRMnZBI4wij/Mdxv+wmd6kapWg3rC0Ow93rQq7UDJW/4jAzYt08o7f7xh0xKisyxYzL5+SUHbUkSlqnAQBGgL0nCWuhw+NSfPSJ/1yuAWFxEUZI0YmKEtpiqSpw9K5VIt/ZB43X5I0apw1AlHT81+5yj7Z8groogWXFx4v64ETVabxKoq4f/uyOxfP0F+d+Ox3H/A97XNQ1GjTLy1VcmKlZUmTnTRu3aqrdvc3NhwQIDs2f76lmazRqdOrm5/35hhSwPD62Uk43u5AmfZIjDwXUXaCwsRHfmNEpsnCi/ZbcTOPQllJjKWF8TkimWD0fj/+mHpT6q6fXCghUdgxpTGTWmMq7GTb2TP263L/j0KvDfulaPHZP4+msjM2YYcLkkAgNVIiM1zp6VS4zr0dEqHTuWrjd5w6BphLZujj45CVezFhS98Sau226/piZuEqhyguJw4x8bSyBFlz3OhZ4/qMUXvMhEhP5TIPkUEAhI+PsLbadKlcTTdcWKPlLksSBFRYnyG38nF7vDIQINCwslCgsl73ZRkURhIRQVSRcWyny/+HZenoTL5Tu5WrWEH/22ZlZa3K4X1oZJP2BcuYyiEe+g1KlbbuexY4fMB6N0nNh0jnhS/p+98w5zomrb+G8mbVu2sfTepTcBpYMFpTfR164oqCCo2EDwtYsFEbGBIgh2utJE6SBNepO2wNLb1mw2ZWbO98fZZDfsAruQLb4f93XlmskkmZycnJm55zn3cz/c1WQ/PerspcziH1ATLwDwe4+PefG3jmwXjdh8x4vEfj4KyLpBzevjsshWoiD08wmEvf8OqjNrbInQULSGjfE0uZE99hZM3XszU5dWpWRGAi8zhkeVKViFB618RTKGPovrP/dDSEiuB7yuy6wb3zTagQMqe/eaOHxY4dQplaQkWfLiSuQoPFyOz3LlJHGPjpYC+fBwOe3mi0y53VljIfu48C0tFrjjDo0ePXJ68mRkyAzRhASVhASVs4cc9P5tEK1OzuaUWo7exiw2cFOOttlsggoVfFErSarkUh5npUpd3d3vdQKVd6iH4ynRsjHeljf7p9Sy4/PPLbz2WgghIYKePb00b25l2TKvzE71KCiKoE0b6dfUrVv+HOOvCI+HmA43oyYnk7hiHaJUqSDu/PJQUpLlzdvx45hOHkc9fhz15AlMx4+hnjyBevoUSua10tWrD2mTpgKyBFjI1xNJmTMfrXFTmbD0yUcYpctk6bLKlfdH+wp7rO7dqzJ+vJW5c80YhkLVqgZDh3q46y4vVquUtGXXUa1bZ/K7wJcvb9C7t9Q21q9vFNi1zrR7F+HvvY1t8QIAPG3bk/7yKLTmLfP0+esEKkioUNqCS4QGRJ48WDhLKXbQgPXcxAo6sFG5CWGxYrX63HKlY65vCiQsLMvfKCQky98ou9eRzSYClj4vJN961udybvMFI7JfsC4mOoEEJycpcjpzvjc74ckvFCVr+iciQhZubNZMp3NnK3XqOKQuYsxbhMz4icSV6+X0WLYik8HAP/+ovPOOlcWL5a3srbdqjBjhpkF9HfuQQYTM+An37XdiXfYHeo2a/Dp8Cb8OWY3NncrXPJYn3dGlfntu5Monavf9RBM6bYyVTHXdSynOckYpTZw4h4ks/5rTShk+trzAWONZSmkneZH3GMhXhOJiWuRg1t07lnLlbBw65OHMmSzt0dmzlzaVA2ksV6aMQUyMHE+GIafjkpJkVOjiqbiwMEHNmlK0fsMNeuZSEqtgnghNBw8Q+ch9mPf9g+fm1qROmkq6vTTHj6scO6Zw9KjKsWNy3bc8fz7329qQEClW9REr39Sgj2DFxRVNNfb/NUT174V1xTISV65Hr1PXv91nnfL111amTbMEVC4oX97goYe89O/vpVy5gjuNh0yeiHruXPGzKMg2VSjCw9EaNALkjVXILz+S8t3PGBUqoqQkE1czp97PiIvD074TIR+P5Zwt71qyq8WWLSoff5x1Lq1TR+eZZzz06KFdtls1DVavNjFnjoUFC8x+k9NatXR695aax2rVCub/N2/dTPh7b2NdJstvuW+9HefLo3L1J8uO6wQqSHhxuGDi9Fis6AjAgFwvqQ4lggRzdX4IfZSJ1iG4XAoV3Qdxei0kUClAJFxQuNZaU1arFCCHh8uLa1gYmc8lAZLLrNezllmv+whjRITUtuQWrs0+OMPee1ueLKb9hF6v/lW3/WIkJCi8/76NGTPMCKHQvLnOqFFubr5ZB8D20/dEDn0Sb7MbSZ69APszTxEyZxbJcxeyM7Yd48ZZcTikWP5yD8i5zSe8F0K57PuyP0p7jjHlcCcqeg/zadxoNoZ1oIFzIw1dG2nk2sik6BeYFvU0bjd8fbo7lbVDLKAL3zCAg9TAhpt7+YG59CIlpDSlS0tyVKZMVrTTt+7bfjnbJMOAY8cU/vlH5Z9/TJlLlYMHc6Yj2+2y3mGdOjq1axt+YlWy5NURq5DJk7CPeB7noKdIf/XNPGXaORz4CZYvipWdYPl8pC5GaGggsapYUfZN5cqhQDrR0ZL4R0eLgkr4+5+AdeF8oh6+l5N9BjHv1nHs3GnyF23N7jMXHW0QE6NyWPoJU7q0JFEPPOC9rFN4vuByETrpczIGDb72qbriALcby9rVmE6eQD1+TC5PHMd0OB7T8WMQHo7j2RfJeGJwwLR+MCCELND+8cdWVq+W06zNmuk8+6yb227T8318u1zw55+yksAff5j955ImTXT69PHSq9flHeOvFub16wgf8ybWv9YA4O7ag/QXRwaQ/ey4TqCCiJJRNlx9+2ObPw8FcCphfCae4hDVqE48NTKrsVXnEJNLvMCOXiNp0ULnrh/7E7NiPie2HMIVWRLv6URKfPIO6WWq4ihTndSSVUmKropLCcXtltoTjwf/+qW2yee+dVmR3OORgz0iIjdSkxv5yUmKgnzs5YRhYJv1C5HzZnJu6k+ytHhGhgzHBEkUfPaswscfW/n2WzkvX6eOziuv5HKwezyEj3kL5xNDEKVKYV6/jpgenXH16E3a198GpS35hZpwlOheXTAdP4bjtbf99RSBALf7yEfuRz18mJmj1rNsmRnvb38w9YwUqqeGlsJ49EHURvXQ6tRDr16DayqydxE0Tbob791rYt8+1U+sDh1Sc2SDxsZKIuUjVfXq6TRpYuRORHwpnRYLCIF5w3q0m24OWrsdDgJIlW9dLlWSk698JQgLE8TECKKihJ9URUcLoqK4xHb5/sjI4hX4CAYyMuRUzs6dJnbuVNm7U3DXzteYoj3AXrIuSlWrGtSvL4v23nijzs0365QpY2f9egdTplj58UdZdsViEXTvrvHYYx6aNbv6qZ3s2ZrpI1/F+czzQfrFxRCGge3nH4h8679w7hxa9Ro43v0Qb4dO17xrIWDJEhMff2xj82Y5eNu103jmGQ+tW+efOOWG3GpZ+qZze/fW6NbNm8Pv7pogBJZVKwgf8yaWzX8jFIX0N96RRPsiXCdQQYSvM81rVhH1yP3+FNfkGk2Y0Hgi07Y15dAhFSHAgtfv//MEX9DWuoFpHSbRvIXgtvC1tBtxS47962XLoVethl6lqqz1lvnQGjUpXoKoi6Hr8kjLvECbd25HOX8exZGGmpaGkpaKkpYmH440me6/eydYrSTNWZDn+ei8IDUVPv/cypdfWnE6FSpXNnjpJTd9+miBUTCHI/dMOiGI6dQGIyaGlBnziuyKpx45THTPO9Fr1ibl59mXbke2qU7z6lW4R39E+N5N2EXgQS8sVrTaN6DXlYRKa9IUb6s2QW+32w2HDql+UrV3r8q+fSaOHFECoqJ2u6BNG42OHXU6dtRkxfiUZOxPDMCoWAnH++OC3ra8IDUVP7E6d05B00I4ftxNSorMLPQ9fNmPvmmIvCIyMpBY5UbAspMu33vs9qI/BSQlwa5dkijt3Gli926VAwcCCbPZLKOQDRoYNGggCVO9enqueqbsFyeHA375xcI331jYv1+O9UaNdAYM8NCrV/7MMS3L/iTyyQGoSUkyW3PMWIpvsbfgoaRZI+OFlwmZ8jXO4S/JqcqrhKbBr7+aGT/eyt698v+4804vw4Z5aNr0ymVxrhbnzin8+quZ2bMtbNokv9dnlNqnj8btt2vB88sUAusfiwl7/13Sxn/un/lQLlzwWyBcJ1BBREBnOhzYnx1CyDxZ/kMoCq6HB3D26VGs3VuSZctkaDIhIeeUgQ0XddlD+woHubnkAeqFHKSCO56IM4dRTx73CwoBjAg7Fw4dlxXBd+0kbMJHuO6+D2+nWwFQUlMQ9sirO7tqmp/0KBcuYN7/z0Vkx4HikM9V37a0NIwSsaRNnCJ/y8yfiXzqcdI+/gzXvQ8AENOxtSRIl4Gr392EfPge58KCYwKakQGTJ1uYMMFGUpJCqVIGzz3n4f77vTkiauqRw0R3ux3n8y/jenhAjn0paamyT4sYasJR6SeTj5N/yZJ2Dh9O46u3k9k8dR9t9BWM4m0UQKgqiizOh6dNO1JmzwfAunghljUryXh0IEa16gXxU3A64cABSaq2bDGxfLmZI0eyjo1q1Qw6t0nh7RXtsFUtQ/r3PxVCKPTKuNIJVNMk6cqNXPlIV0oKAc99j4urAVwOqppFsnKLboWFZVUJyF4VIMtQVuSyLfv7Aj+XlKRw5IjC4cMyczM+Xs2RIRkaKqhZU8+ctjWoW9egRg1DJhOogrD929EaNAqoVOBbKkrufSuE1MlMnmzh99+lOLlECYP77/fy8MNeype/zGneMAgb9wFh778DFguOdz+UFgVFzTwLCX6bnV07ZcQ5NBS8XkKmTcF134N5iu673TBjhoVPPrFy5IiKqgp699YYOtRDnToFR5xyQ0KCwty5FmbPDvSIu/NOjT59vHToEJzszICb0O1bie56G+n/fZOMx5+8TqCCidw607p4IfbBA/3miUZ0NKlTf/Df3Z85o7BypYlVq8wsXx7o5nqxVik6WtCysZNbqsfTMu4AN1gOEoaLjKHPAll6nbQPx+N68BH5mTtvwbxnF3rlKjJiVbkqIiZGkh9f9MchiY/zpVf87Yq9sSGoCokbt8t9z5tN5OMP56kf9CpV/Z+zrFlF2IdjyBg0WKb4AyFTJ6MmJ2HY7YjwCIQ9EmG3Zz4iMWJjEbElgjI4vV748UcLY8daOXVKJSpK8PTTHgYM8BAenvtnzFs3E3XfXaS/PNrfj8Ud1t8XoV447yepl0L2Pj10SGHUKzbUZcsZwRg6ZhaY1qpUwd2zL86XR4HJRMTzzxA67RsSl61Fr98AdJ2YTq3Rq9VAq1MXrW59tLr1MKpUzb9vjWGgJhzFvGc33ptuRsTKOzvrn79zKLYZf2wry55Fx5n1d3XS0xXiOEeaOYbmN0GHDjI6VZBZOldCQZ5APR78hCs5mRzEK5CQEbA9fx5bhY+PGcYwPuFGNvkNbX2wWqUNS7lyKjExGqVKybT3kiVFtqWBxyOjUt9/byUpSUFV5cXzsce8tGoVOH2kJCdhHzwQ2x+/o1eoSOo302Xm2v8j5DZWQyZPxD7iBZzDhpP+yn8v+dn0dPjuOwuffy7Po1ar4J57vAwe7KFq1aL3EvznH1mlYPZsaesCUhrQrZtG374aLVsGxxbBsnol9ueeJm3sJ3jbdbhOoIKJS3WmcvYs9mFPYlv6B8Jk4sLWvYgyZXK8TwjYv1/1E6q1a7PXG5IZUBefGGvW1GnWzKBZM51mjT3Uiz6OGhWBiJb+URHPP4N52xZMh+MDHLBzQ+qXk/0FPe2PPwxC+HU+pv37sM3+BRGRnexkEp6IbM8j7EGLDFzL4DQMGWIeM8ZGfLxKaKjg8cc9DBniydN8uZKUiIi5dPRLPXKY8LHv4e7cpUBrreUJTiexLRujOBwkbtqBiIu75Fsv7lMh4I8/TIwaFULckc28ah1DN+8cFCHQqlUnY/AwXF27Yz4cL7N/rFbUE8eJ6djKbxLo31dYGNoNdaSmyjcVWKeeP9ytJCdh3rsH055dmPfsxrxnN6Z/9qKmOwBImfYTnju6oCQnUaJ+TbRaN+Bt1ZrQaVM4N2cJ69zNWL5cRqd27DBl+02Gn0y1b68XrJvxRSiuWXgZGYGEyunM7vSv+GfVfc7/ui6jC8ePq5kPWbz19GklR4ZtVFQWoYmLk4+QkCx5mm9/2SsOXLytwek/6Xz0a6ZXG018WP2A19LTFc6dk0Vj3e7L/86wsCyvu8RE6eIPUKaMkWmF4aW2cxu1RtyP+dgRPB06kfrF5KC4UP/bkNtYVVJTCBv/Ec6nhso+EQL19Cm/p15KCnzzjZVJkyxcuKASFiZ48EEvTz3loUyZoidOF0MImQU4e7aFuXPN/oBEuXIGvXrJyFSDBtd4w5XNf+s6gQoiLtuZQhAybQqGPRJPn34AWH+bh23xAhyvvinNGC+C1wubN5v8hGrLliw9ga8UR3q6gseT1cdhYYKmTXVJqJrpNG0qT3YIgZKYiOlIPEpqqp/8+IlPeERQXW+DgasZnELA8uUm3n7bxs6dJsxmwf33exk+3HP5rI1MDxX33fdilCl7xe8xHTpA7M3NcPW5i7QvJ+erjQUB066dqI40f82nS+FSfepywZdfWvn4YysVnPt5t8QH9Eqdjur1oJcqTcagwbgeegQRmZkGnXmiNe/ZhWnPHsx7dklydGAfitcbsG93+46YD+zHdPJEwHZhNqPXrCWJVt16eLr1QK9WAyUtldCJn2GbPRPzwQNotW/A07IVqjMdV7+78bbrwLkkCytXSjK1YkVg5LZhQ0mmOnbUad48SGH8S6C4EqgrITlZ6pV27VL9mXD79+fUK9WqJfVKPoF3/fp6odVRjIuzc+hQGmfPSr3Z2bPyIdfVbOtymVupqoeZwuc8RSgu3rOOYnKFV4krrfijWdkjWtlJYTGYHQ468jJWrb/OIXLIIM49+hzv8wITp0XhcChERQkee8zD4497iP2XlFbVdZkZOGeOmfnzLX5yXb26QZ8+Xvr08VK9ev5ogXrmNObtWxFWG94Ona4TqGAiP52ppCQT26IxSmoKSWs2olevecXPpKbCX3+ZWLnSzKpVJg4cyLoLt9sFJUoYuFyKvzq9D5UqycwWH6mqX9/4V5wg8js4N21SefttG3/9JXVbffp4efFFd568Q0I/GUfEW//FfUdXUqf9mKfvM2/5W04DqCqh48eCakLExGDExCJiY+Uy83lhdriSmoJ5y+Zcs2yu1KcnTyq8/rqNOXMslOUkE28YS5djX2FKTyP104m4+/8n681CoJw96yf/5s2bsD/7NO7b70CvWw/znt3YfvkR0+lT6GXLYZQshWXHNlzdeuAc/jJ6zVqETvkKJSMjM1pVF6NiJcybNxH56AOYTp/C3b0XaeM/I6p/byx/bwTAiCuJq3df3H37ozVphiEUdu9W/WRqwwaTP2oSHi5o21bzR6iCPd1Q3AmU1wvHj0tzVF8m3K5dphzay7AwQb16Uthdv75c1q5tFE65toyMXHV8+elbw5C6LB/JOnBAYeVCD1+ubUyUSOZ+prMyvCsmk8i8kF4+BBEbawRMGWYRrqzt1aoZwRMsFwLy0p9p3y0gdtRzRDtPEU9VXo0cR7Vhd/Dww57gGpcWMtxuWLrUzJw5Zn7/3YzLJf//Ro10eveWtgg5PMbS07H+tRrz9m2Yt2/FvH0bptOnAGm4mTLrt+sEKpjIT2daF/xG5GMP4rrnPhzjPgWk9kZJSsTb6bY87ePECYXVq02sWCEJVXaTwPLlDcqUMdA0aSiYPf06LEymgHbsqHHLLRpVqhS/UCzkvT/37lV5990s47bbbpMmmPXr503UaP1tLlEDHkQvV57kxcvyFIG6GCWqlUd1XLqtRniEn0w5PhiH1lTqPnzOwe677wVASbyAmpQoyVdUdP6z/IQgql9PLOvWyPp6mbozH/Lap3/9ZWLECBt795qoEJHElJs+pdGTLQg5vA/z1s1Y/1yC4kxHcbk4f/gUWK2Y9u8j5vYOOJ9+BufwlwBZe0pERiJiYlGPH8O6ZDFa8xZ+M8CYVs0wHzyQ1U/2SBRXBug66aNeJ2PwUCngFALzpo2EzPoZ27zZqImJAGjVquPu2x9X3/5+gbvDAWvXyujU8uVmDh/OOi6qVDEyo1Mabdrol/W4yguKmkDpuizILD2tAr2tEhJUTp7MaZIaF2dQv35WVKlBA52qVYug5JNhEPnQfzAlJJC04q8cYu6r7ttsyS/Gtl0s3RDFuHm1+ftv+QOrVTO46y4vrVppZGT4SFfuUa7L2VaYzbJAbosWslJCixY6JUoUz3MpXL4/Dx5UmDBB+uGFaml8YH+dx9I/wWRouG/rjOPNMQWWQFLYcDhg0SKpl1qxIssW4bH6a3io3J+UfG8wMeVCUY8cpkSLRv7P6WXLoTVqgtaoMd7mLa9roIKN/Hameed2tBvqSk8br5foW9ti2bsH9x1dcLz+DkbVannelxCwZ4/KqlUyQrV+fVb9OLNZULeuQYUKBkLIbKeDB7POltWqGXTqJMnUzTfrxeau6kr9eeSINMGcNUuaYLZsqfHKKx5uuknP83eYt/xNdK8uCJOZ5N9+lyLpq4B50wbUpESUxETU5CSUpETUxCSU5CTUxET5PCkRNSmJ5Nm/SQIlBHHlS6A1akLyoqVAljkkyMxNER0dEMkSMbFSZB8Ti1ajJp4evQGp2VIcDozSZTBv3UL03b3B6yF16vd4brvD3848jVGXC+uSRai7dnFqyV6s/+yminE4x9uMEnF4W7Uh7f1xfv0EQuRrKlg9lpCph9qFae9uzHv3gKbhGDMWb/uOuX/I68W6Yim2mT9jW7wQJUMW7fY2bYa7b38yHnw0wBjxyBElk0yZWLPG7He5tlgEzZvrfquE+vWNfM9iF/QJVAiZuu0jR9JCIctl/fjxnBolkAkoZctm1QKsVi3LNqBMmYIv2ppX2Ac9QsicWST9+nsOP6+r6VvLsj+xvzyc5J/n5Dh/bt+uMnmylTlzpDFjWJigf38vAwZ4qV0795stt1uWOcoiVnLq8PRphZ07TWzfrqJpWZ1Zq5ZOy5ZZj0qVik9f59afO3fKciu//SbPoTVq6Awd6qFvX42Q+H+IGPE81jWrEFYrziHDcA4dTrG5QFwllPPnMe/YimX7NlLCSvOddQBz5pj5z/rnGMoEWpvWEXHLjfTu5aH/ofcwNa2Pt2GTXGU21wlUEHEtnRk29j3CPvoAvVw5zEePIGw2nE89LQfspdLFLgO3G/7+2+QnVNu2qf47UYtFOk2HhgoyMuDMGdWvo7JaBa1a6ZmESqdGjeKX4XTmjMK4cVamT5cmmHXrSvfwW27Jn3GbeiyBmDs6oVw4T+p3P+O5tXMQW38Z+NJiDQPL+r8QZgtaC+l1ZVm5HNvcWQGkS0lKksuLtEW+MDJA6KfjiXhjNCnTf8bT+U4sf60hqk83EALvjS3w3nIbzmHDKVkmOmem6NIl2ObNIf3FkRgVKoLTSVy1cn5LAy02jn3WBiw53YgdNCS6dW2Gdt6D/f4uMmnA5cI+9Alc9z2Et12HQk0LVxxpWBfOJ2TWL1hWLscoVZrErXvAZJIWHqopwM/L65XHRZYYXfVnusbFGbRvL8lUhw661A5eAdd6AhVCCnUTElSOHpXkyOcz5VvPyMi9P+PiDCpXzqrp5ytDU7myQfny4l9hrm35aw3RvbrkqiW8mr61/fQ99ueHkfrFZDzde+b6nvPnFX74wcKUKRZOnJCMuW1bjQEDvNx+u5YvP9n0dFn4fP16OXW8aVNg4fMyZQxuuimLUNWpYxSZWWr2/tywwcT48Vb+/FP+2AYNZLmVLl0uKrciBLZf5xD+6khMp06iV6yE44138XTp9q+wf1ASL2Devg18mu8VAAAgAElEQVRL5hSceftW6cqeCe+NLUheKMu3XFi6k81zT/Hpjo6s3yuFXmFhgs6dpfi8Y0c9hxLjOoEKIq6lM61LFmF/ZjDq+fNoN9SRgu+zZ9DLlSf9tbdw9+xzTQM2ORnWrjWzcqWJnTtNHD166bpg2WG3C+rX12nXTqdrVy81aohgGlZfFhf3Z0oKfPaZlUmTpAlmlSoGL7/splcvLd+RAyU1hehut2P+Zy9p736Aa8CgILc+yBACJd2RRaYSExGhYWgtZeFc6++LsM2bjXPYcPTaNwAQW7uKfG/mLtyd78RWpzaezdvQK1TAMf5zQE4jRrz1GilTvvdXeg/57lv0ChXR6tb3F1bdsUNlxIgQNm0yERIi7SCGDPEQtXIhUQ/eA4C3UROcTz+Dp2uPQjcZVc6exRR/yB/JCBv7HmETxpHyw8xLmoKeP68EiNGzexk1aBAoRs9NxpaXY97hwB858k2xZV+/lNlmVFRgPb7KlbPWK1Y0rua+qvhBCGLaNMd09AgXtv0TkEGa1/OpkpyEsFj9N5pqwlGMSpWv+DlNg99/NzN5soU1a+RJrUIFg4cf9nLffd6rmo7TNFkg10eo1q8PlFZERsqoZ8uWctqvcWO9cHRmSFH+jBlOPv7Yyrp18vfedJN0De/Y8Qo3nw4H4R9/SOgXE1C8XtKfewHny6MLp+H5hHnL34R99okkSwlHA14z4kribdwErWFjtMZN0Ro19mccZseBAyqzZ8tpPp8EIDpa0L27LHB88806JtN1AhVUXGtnKmfPYn9uCLYlizEio/C0bott6RIUjwdP67Y43n4fvW69oLXXV7bi6FGVI0fktMDRo7LcxrFjuWe1KIogOhqqV9epV0/e7VauLKhSRa4HM0PH159OJ0yebGXCBCvJyQqlSxsMH+7hvvu8V5dhpWlE3dsP64plOB8bRPo7HwSv0cUMlj+XEPXQf3JGr1q1IWXuQkBmliipqehVq12xnIsQMHOmmTfesHHmjErFigavv+6mZ/mNhH/6Mdb586QFQtVq0gKh/3+CVn4nvwj59htCv/mK5Pm/I+yRKI40wt55A3fvfmg3tshxQyIEOcTovshseLjUDXboIPVTvsSEkiXtHDuWxvHjOcmRjzT5KsxfjLAw4Y8c+err+dYrVTKIKvi6r8UCoZM+J2LUyzhefZOMIcP82/NyPjXv3E7kIw/gbd6CtM+/uuqbzL17Vb75xsKMGRacTgWbTdCnj8aAAR4aNrx6g0gh4PBhJZNMmdmwwUR8fNZ4sFqljuqmm6RXUYsWenDLkiAF9gsXmvnss1A2b5bbOnWSxCk/cgeQBbzD/zuS9NfeRq9ZS270evNUhzKoyGZuGTHiecw7tpO84A8ALGtXE927K0ZcHFrDxpmEqQla4yaSLOVjjAgB27Zl2SKcOSP/uzJlDD77zEWfPmHXCVSwEBQ2KgQh06cS8eoIFKcTd+c7wevFtuxPhMlExiOP4XxxpN/nqaBgGFKcGh8vdVXr1pnYv18lKenyoZ6YGJFJqrLIlW+9fPn8Ra+io+2MH+9i7Fgrp09nmWA+9pjn6qfhhSDixecI/XYy7ts6kzrtp/+9AmQXwbx+HaHTvsE2ZyZKeDgXFi7FqFX7mvbpcMDYsTYmTZLTqO3aabz9tpu65n2ySvzPP6B4PBglS+Ec9BSuhwdkWSAUEWwzfiJy8EAA9MpVcPXtj7vf3eg1cs+ATU+XYnqfGP3QoayxX7myQenSBsePmzl5Mvfvs1qFP1qUnSj51kuUKD76mKKEkpxEiUY3YJQuQ+L6rX4N3ZXOp7Yfv8P+0nMoLpeMiLz4yjVbsaSkwE8/WfjmG6s/8tC8uc5jj3no2lULSjLtmTMKGzea2LhRRqh27lQDhP516gTqqCpUyP+l6+xZhTVrTKxeLSUcx4+rKAp06ybLrVwLKcwO8+ZNRD7+sDSW7Jiz/FgwoKSmYN6xXU7B7diKedtWXA8+KhNMgMgH78GyYR2JG7bJ66LLhXr+HEb5CkGdZtR1WLdO2iIsXWpm5Eg3gweHXidQwUIww3mm+IPYBw/Esvlv9PIVyHj0MUK+n445/hDJcxcWSJ2yvODcOYUVK0wsWSLv0lNSfCcsWUbCbJZpwrkJW81mQYUKIoBc+SJXlStn3XEbBsybZ+aDD0I5eFCWhBg40MPgwXkzwbwcQr6fhv3ZIWj1GpD822Kp4blK6LosQfJvSe8NmfI19peew9usOcnzFgXFWuHgQYVRo0JYtsyMySR47DEvL7zgJjrjNKGTvpCu82mpGPZIXA89Kg37LmP0WaDwerGuWo5t5i/YFs1HcTrl5kZNcPe9C3fvfhilcxrc+pCQkCVGX73ajNMJFSsqVKigUbFizum20qVFcbNWK7aIGPYUoT9+R/LPc/wX4kueT10uIl55kdDpUzGiokn7fFJAokQwYBjST+7rr60sXSrv+kqVMnjoIS8PPui9vKdcPuFwSF3ehg3ysXmzKUD3VqFCVqZfy5bSXuLiceWzuFm92syaNSZ/fTqQU8Fdumi8+qqFEiWCe7EPmT6ViJEvkDJj3hU96PICJS0V884dmLdt9ZMlc/yhgPcY0dFkPPk0zmdfkBscDjl9WwR3I9en8IKIoHempsnaTR+9D4ZBxsCn8DZviadHL0DO9atnTge12G5+YBhSF7N0qZlly8xs3px1JxUTY9CwobygRETIOyI5RagEmB5mR3S0vPC4XLBvnwmzGR54wMNzz13BBDMfUJKTiHh5OOmj35B3KLlACKkZO31aOjHLR871s2flNGfr1hqDBnm47Ta9eAezhKDks0/CDz/gHPQU6W+OCdZu+f13E6NHh3D0qEpcnMHo0W7uvlvD5EghZOo3hE38DCXxAokbt2NUrBSU770mpKdjW7wA28yfsa5YhqLrCFXF27Y9rr798XTtftl6hz4n77Jli7cP1L8F5i1/E3NHJ9xdupM69Xsg9/OpeiyByEcfwLJ9K976DUn9ZrosIVSAiI9XmDLFyg8/WEhLUzCbBT16aNx6q0aFCoLy5Q3Klg2eNtTrldlxPh3Vxo2mgGng6GhBs2Y6ZcvKcjYHDpjYsSPLBDU0VNCihU7btjrt2mk0aGAUqF5HOXcOUbIkAOrheEKnT8X53Av5uzkVgsiH7sX6+8LAWq9R0VKv1KixX7tkVK5SbATs1wlUEFFQnWnevAn7U4+jOhwkrlzvv4OPfOhebIvmk7TgjyIjUdmRnAwrV0oytWyZyT9frChynr9TJ41OnTRuuMHgxAlJpny6K58OKyFBxeOBPn003nvPQmRkkPpT18FkIj1dhtBPn1Y5dSp3cnTmjOI3WssNNpugdGlBmTIGQij+quBVqhgMHOjhnnu81+wvVFAoGaqgNbsR8/59pEyefslMpauBywVffGFl/Hgp8m/aVOedd1yyOrvLhWXTBrxt2wNgWb6U0O++JX3E6EtOoRUWlHPnsP06m5CZv2DZvAkAx3/f8k8RZNdbXIyi9oH6n4EQRN/aDvOeXSRu2Y1RtlyOvrUs+5PIJwegJiXhuuc+0t77KF+FtK8VDgfMnGnhm28s/PNP4J2SqkrbiPLlDT+pKl9eUKFC1jLyKmu6CwH79qnMmiXPrQcOqBednwR2u5z669xZ4557vGTymQAUxliNGD6U0OlT0cuUlclPvfvl+UebDh0g4uXn0eo3lISpURNJjosJWcoN1wlUEFGgnelwYDocj96gISCZvnrqFCFzZuJ4/yM5yBwOOS1TDGzGfb5US5fKKY8NG0x+v5ToaEH79pJMdeyoB9RUMuS1lrCw/PWnxyOjXJIUqZkkSeHUKRX96Ak+2HoHz5vHMSfjzkvuQ1Wlw3CZMpIcyWXO9ZiYwGN6716VSZMszJxpwe1WiIwU3HeflwEDPFSqVLyM9UqWtJO4ZhPRfbqRNuZDPN17Bf07TpyQbuZz50ph6b33ehg50hNgCxDx4rOETp1M0tLVflPNyxGVwoJ6OJ6Q2TNw3fuAFJx6vcR0bIW7a3ecI17N8f7rBCp4CJk2Bfvzw0h/cSTO51/O6lvDIOyj9wn74F2wWHC88wGuBx4usrEiBGzcaGLvXpUTJ5SA2oGnTuWefAMQEZFFqHxEq0KFLMJVpozwa7F9dVFXr5ZWNH/9ZfaXIgFZA7VyZYGqCo4fV9m7N8uOQ1Wl759PQ3XTTfIcWyhjNSODsAnjCJswDsXtlslP73yAXqdurm+3rF2NUbYserUaBduuAsJ1AhVEFNbJVDl7ltgON+Ft0ozU737JykZ48Vksa1fjeOu9AhP0XS3S0mD1ahmZWrZMihp9qFtX55ZbNDp1CkwXL1nSzpkzaZw7p/gJkS9y5Isi+SJHl7NkuINFzKE340u9xZL6z/gJUenSgrJls8hRyZLX5sZ8/rzCtGnyDvXsWRVVFXTtqjFwoJcWLfLnUVVQ8I/RS5TPCCbWrjUxcqR0M7fbBS++6ObRRzMzJ4XAvGMbWqMmAJh3bCPiuaFkPP0M7m49i42w33Rgv/Qp6tnbn61pWf8XRmwJ9Fq1rxOoYMLhIHLgw7geeQzPbXf4+zb8lRcJ++pL9AoVSZ08Da1Js6Ju6SWhaTLCffx4Frk6cUKSq+PH5fPsRCg7VFUQGSnPQQ6HElA4vmxZg7ZtpTdfmzY5C2anpkodlW/ab8sWU8DnrVaBoiioalbigqrKS4eiZK1f6XXfes7XRcDrFb3xvHxmOJ0cv6Fh4se4IUws8yrp5ij/58p4Epi5qy5nrRW5t9F2FKuFli11evXSLmlsWtxwnUAFEYVGoM6fx/7sYLyt25LxxBC5UQgiRr5AyJSvUQwD953dcLzxjpwvLmbwuaH7yNS6dVkHe0SELIbscCicPWvi9GkR4PR7McLCZOi8bFkjc1pNRonKls2aZitdWhB2Kr7QwsFutxTBT5xoZedOSQSaNNEZONBDjx5aoWf8ZsfFY1RJS8U2ZxauBx8pkO/TNPj2WwtjxthISVGoXVvn7bfdtGsXmD4dOulzwkePkBYI1arjeH+cNOUsDtA0FGe6P4swpmNrzLt3olWvgbnVzaTVaYDWpBlavQZFZtnwv4iScRGcO+/AtH8f4e++SdqH46Xj/b8cqalw4oSMGq1ZY2LbNhOHD6ukp1/53BQeLrM6s0exsi/LlpVRLLdbOq9v2GBm40YT588rmEwmvF4dw8gqGpB9Pec2xb+e6amb4zO5v674X7/Vs5D3XMOoLg5xhtKMtLzP98r9COR7hmlj2UFD/uA2fwQN5HRkz54avXp581TLtKhwnUAFEYV6N5q9bIbbTfiHY3AOGYaakIB95AtYNqyTbuaDh+Ec+lyxtt93OmUGidROmYmPV7FYBOXKKZQqpV8yYlS2rHFZrVHID9Nx9exzVU7uwYAQsH69iS+/tLB4sSyVUKaMwYABXh54oGiqml88Ru0DHyZk7mxSvv0xR928YOL8eYV337Xy3XcWhFDo1s3L66+7qVgx67A0xR8k9LNPCPl+GophkPHAI6S/9uZlxdyFDiGwzZuNbdYvWP5ai5qWmvWSxYJWtz5ak6Z4m96I1rip9MopJtG0fxNCP/6QiLkzSfzmu3/t9M7FcDjk+WDVKjOrV5vYvTuwGHyrVjpt22q0aqUTEyMuGcU6cUIlJSX366qiyHPjxfqrxo11OncO5/z5IoiWulyEfTGBsI8/9BcOT/1sInr9hgFvczhgyRIzc+fK64DPg61hQ0mmevb0FktJxHUCFSQUVTjfZ0Snl69A2oQv8bZui232DMJfH43p9Cn0ChVxvP42nm49i1xjkhf4slJLlbr6/gyZPBH7iBdw9e1P2hdfB7mF+ceRIwpff23l++8tpKcrhIYK7rrLy8CBXmrVKrxw9cVjVD16hJAfp+Mc/nKhmOFt3y7dzP/+O9DNPPtsonnbFuzDnsK8dw96ufKkffRJngtsFyoMg5LJp0n9cyWWrZsxb9uCeecOFI/H/xZ/gocQWBf8hta0GUa58kXY6OIP887txNzSFoDU8Z/j/s/9Rdyiq4PHA5s3Sw3T6tVyWs0XTbfZsjLl2rbVaNTIyFcWX1oaAdOCFxOtkydzarEqV4bu3WXlhgYNCr9El3osgagH7sa8ZzfuzneSOv3nS743NVWaf86bZ2Hlyqx+a9ZMp1cvLz16aJQtW/Rk6jqBCiKKTA9xsd3Bk0+TPmI0eL0B9vuetu2lm/kNdQq/jVeBq+1P6x+LiXzgHkRsCZJ+X1480uYzkZoKP/xg4euvrSQkSDFBp04aAwfmoZxCEHDFPi0EIbdhZLmZnz2rUqmSdDPv0kXL+mqPR47p8WNRNA3XPffheOOdAjeQzSt0XXZT6dIX9afHg3nPLsxbt2DZupm098dBSAjq0SOUaN4QV88+pH01FZAGp4rTgda4KSL23z81ddUQAvP2rSCEX98UMnki9vo3cK5l+yJuXN5hGLBrl5pJmKTruK8unqoKGjeWOqa2baXWsyAliLru02LJzObly80sXmwhLXOoVq1q0Lu3l549NerUKYQbOCEIG/se4e+/gx4TS8q8Reg31EFJSca6eCHuu+65pAlqYiIsXGhhzhwza9eaMAwFRRG0bCkjU927a3mqW1kQuE6ggoiiFpSaN2/CPngg5vhDaHXrk/r5V+h162GKP0j46BHY/vgdYTKR8tPsS1e6L0a4mv407dpJdPfOKLpG8pwFaM2aF1Drrg26DosWmZk0ycL69fLWs3Ztnccf93LXXd4CO7lesk8Ng9BPP8a8awdpE6cUSqQyLS3LzVzTpJv5O++4AyJypl07sQ97CsvO7eily5A2/nO8nW7NrflkZIDLpeByyfWMDLnu2+ZyKTidgc99n7n4szm3BX7GZxRrt4PdbmC3i8x1KQS++HkpcZrG27/HU702jo53EhkpqPfKPUQuXwCAXqUq3iZN0Zo0w9vkRrQGDYv1tHswoB45TMisX7DN+gXzwQN4Ot5Cys9z/K9nz8KLePE53L364G3TrghbHAghpEeUb0pu7VozSUlZx03t2r4Ik06rVlqRl+aJiLDz888ZzJ1rZskSs9+s84YbsvRG1asXwGVSCMJfG0XYFxPQK1Umeeavfu+u8NEvEzbx8zxHGs+eVZg/38y8eWbWrzchhBTGt24txeddu3oLVBrhcskMzK1bTXTv7qVly4jrBCpYKGoCBUB6OhH/fYXQad8grFbSX3mNjEFPgapi/WMxoZMnkfLtj/wbSrXntz/V06eIvqMTppMnSJk8rUBS9AsC27erTJxoZe5cM5qmEBtr8OCDXh591Btg8RAMXLJPNY2ovt2xrluL460xZAx8KqjfezkcOKAyapSN5cvNmM2Cvn01wsOFn7B40r303P8RDx55k+FVZ/KntYuf0PiWPr1EsBEWJggJEYSEkPkQhIZKs0LpRG8mKckgLU0hNZVLprDnhlv4k/aspIWyiRZsJEYk+V/TFRMJkfU4WupGTlW8kYS6tyPKl89G0GRh2ogIQWSkJGrFwL3kilASL2CbN4eQmT9j2bQBABESgvuOLrjvuifAUdw3Vs07thF95y2gqqROnobn9ktbkRQkzp1T2L1bZfdulV27ZHmrkyezoiYVKhj+Kbm2bfWgupUHA9mP/fR0+OMPM3PmSL2RL4mnQYMsMhUUvZGuy9JZ06eg1axFysxfA4r3qieOE/rFBNJHvyGvST5Veh50g6dOKfz6q5m5cy1s3izfbzYL2rfX6dnTS5cu2jXXZtV1GVVcudLMqlXS1NTnwTVqlJs337RdJ1DBQrEgUJmwLlmE/ZkhqOfP4WnbnrRPvsjhvB068TPUEyfkdF8hGtLlFfnqz/R0onveiWXHNhyjXidj6LMF27gCwOnTClOmWPj2WwuJiSpms6BnT40nnvDQqFFwwuyX61P1zGliOrVBSUoked6iQjVnFQIWLzYzerTNP7V5McpykuTQsoSEQEXLKVrxF6viehMaSjaSI5eS+BBAfkJDRcB7Q0NFACnKvgwJkefzKwXisvenEDJ6lZamkJbmWyqkpio4HJCaepnnaYLYpHhqp/5NQ9dGmrOJpmwhFBcA/fmZGfQHYDgfEk815tAnoC02W1bkKysKJp+XLCmoUcOgenWDmjUNSpQoxIt7Rga2JYuk6/vSP1A0DaEoeNt2wNXv0q7v2fvWsnwpUQ/fC14vaZ9/hbtX3wJrrq5DfLzKrl1ZZGn3btVvDOxDiRIGbdrICFObNhpVqxbv2oaXOvbT0mQ0fO5cCytWBOqNevaU03xXpTfyerE//QQhs2fgrd+QlJ/n+B3LL4XQCR9jXbGU1C8mI0qVyvNXHTumMG+e/A07dkgyZbUKOnXS6NVL4/bbtTyZG/uKP69aJQnTxVHFunV12rWTDu/Sw/D6FF7QUJwIFEiHZfvwp7EtXogRFU3K9zPQWmReFHWdmFvaop49TeKqjUVXn+wyyHN/6jqRj9yPbfECMu57EMdHE/4VYvlLwemEWbMsTJpkYd8+eTJo2VJj0CAvd96pXVNS15X61LJmFVH9emCUKUvS0jWFnjbudsM//6hYLDmJTXZCYx/0CCFzZpHywww8t3Yu1DZmR0Ec84YhIwRpiRr6jn+wbNtMfL0unDOVxXnBxeCRpThW+kbe7b6S1FSFqoeXU+vUaraab2SD0ZzDzjI4HIpff5MbYmKEn0xVr25Qo4Zcr1LFCGougZKWSmyTeqipKQB46zfE3e9u3L37BkQicsPFfWtev46o++5CcaTh+HC8NNO8RqSlwe7dkiDt2SPJ0j//qAG16ADKlzeoV8+gfn2devUM6tXTqVLl31XrMC9jNSkpS2+0Zs016I1cLiIHPoJt8QK8N7Yg5ceZiKgrFDIVgsjHHsL221z00mVI/epbtJtuzscvlIiPV5g3z8LcuWZ/TcDQUMGtt0oydeutWkC84Nw5WXh51SqZIXnsWGBUsX17LZMk6zl++3UNVBBR3AgUAEIQ8v00Qr/6guTffvd72QDgdGI+dMDvBG3auwe9arVi42WT1/4M/+8rhH0xAU/b9qT8OKtYOLEHA0LAihUmJk60smyZ1ElVqmTw2GMe7r3Xe1Xh6bz0adi4Dwh/902pSflx1jVXuC8ImA4eIOTbyaS//o5sn6bJsH8hE+dCP+Y1DfPfm1A0r18PFDHieUInT/K/Ra9QEa1JM1yNmpFaqynnKjXhRGoUhw6pHDig+pdHj+bM1DKZBFWqBEarfASrRIkrR1jUhKOEfvMVntvv8Bc8tz/1OEb5Crj69s9XAktufWvesY2ou3ujXriA4/V3yHhySJ72JYSMUvjIkowumTh6NHBsWyyC2rVzkqWY4pG7cE3I71i9nN6od2+pN8q1X9LTiXroXqyrluNp24GUb38gz7WthCD08wmEv/VfuavRb8j/+CqP6337VObOlb/h4EFJpsLCBI0b60RGCo4eVQMKL0dHC9q00fxRpitFFa8TqCCiWBIoHzJrwQGEfvYJpiOHSX/pFX/kSUm8QGzblhixsaRN+BKtcdOibC2Qt/4M+WE69mcGo9WsRfKCP4pNllawsX+/LBczY4aFjAyFiAjBvffKcjFVq+Z9aOdpjBoGkffdhW3pH6S/9ArO4S9dY+sLHuH/fQXT4UM43h+HUaZsoX1vcTjmlcQLmLdtwbJlM+atm7Fs3Yx6/rz/daEoGBUrYZQogev+h/2RG3XhIpL2XWBd1XvYnxBG/AHBiX1OdhyJJik5J2n2Ra1q1Ah8VAs5gbmS7HPzpg3EdL1NRoLHfXpNv+tSfWvav4+ou3piOnWS9OdfxvnCiIALrCxGrmbqlUzs2qWyZ48ph3dSiRIGdesa1K8vSVK9epIw/o/cf+XAtYzVy+mNevWSkXHfDZ35741E9+6Kp+MtpE6aelU35JZ1a7E//jCms2dwd+lO2iefB9785wNeL2zdqjJrloUlS8ycOKEAvrEg/QU7ddJ44AEvTZoY+YrwXydQQURxOJnmBdFdbsW0dw8Xdh+EsDCU1BRMe/cQMusXQqdORphMOIc9h/O5l4o0mpOX/lQPxxM59ElSJ3xZ4FXZiwMSE2H6dCuTJ1s4fVpFUQR33CGn926++co2CHkdo0riBWJubYd64jgpv8wt3lmbmkbU3X2wrl6BERWN4813cd99b6FEo4rlMS8E6vFjkkxlkirTkcOoF86T/sIIMoYNByDq7t5Yly/l3JHTEBaG6eABYls1k4ag0SVwhseRYonjnCjJcU9JDqeV4mByHGdEKTIIoRwnuY8faM8qOlfYCXVvoEZ1nds8C7B06Ui1OpY8Ra0uhcvq9Y4eIbpfD0xHj7C/y2C+b/YBu3ab2bNHRteyR9YURRI/GVWSZKl+fVmh4F88059vBGusJiTIKbJ588w59Ea9e0u9UdT+zWj1G16Tt5xy5gyRTzyKde1q9CpVSZk83V8L9nLw1RH0TcmtXWvC4ZB/tK+wfe3aOk6nwubNWYkAsbEGXbtq9Oyp0bq1nicidZ1ABRHF8mSaGzQN08ED/nB6yPSp2IcPRatZC2/TG7GuWIbpzGm0uvVJm/BFVrHXQkae+7MYFKEtbHi98OuvslzMtm3ySG/QQJaL6dVLu2SSZX7GqHnzJqJ73IGIiiJp6ZoralaKFIZByLffEP7Gq6jpDjydbiVt7Cc5EieCjX/NMQ/yONF1fI6N5vXrMB2Jx33PfYB0gg9/dSTqhfOoFy6gXLgQ4LQesCuy7uH3hDWlgvMgH/A8bzEagIeZQi324wiJw1QmjrBKsUTVKEFcnRJUaBxDpTqhV7w3y963mgaHDqkB02/nd5zmxwudqccexjOUZxhPeLgspOsjSfXq6dxwg1FUxQiKFQpirMbHK8yda2HdzDM8fPBVhvApRmg4t98uicgtt2jXlp+kaYS/9zZh48ciQkJwjBmL694Hcrzt1CnFT5hWrTIFCP6rVTNo107zi/2zTzsaBvz9t8rcuR0AP1QAACAASURBVBZ+/dXM2bPycyVLGnTvLjVTLVrol1QxFGsCVbt2bRX4DdgAWIHqwKNAKDAGiAdqAiP37dt35nL7uk6gLg3z+nWEfv0ltiWLUFwy68coEYd64byMRj33Is5nni8Up+rsuFR/KmfPEvn4QzjGjL1kle//L/BVhp80ycKCBWYMQ6FUKYNHHvHy0ENe4uKuTfQY8vWX2Ee+iOemVqTMW1Tsiap6LAH7c09jXbkcI8JO+mtvySmrAmr3v/WYzzMyMrAuXYJt1i9YVyxDTU8HQC9ZkoxBQ3D36Yd6/hz2oU9yoddDbGr9NIcOKdwyrg/1jy6+5G6dhJJkKokzrAQbmg3ibPeHqFnToPHhuVj1DDZX7En86TjWr/ewe7cUdvvSx32oUMHg5ppneXd/P/bd9yol+rT61wm7CxMFOVbDXxtF2OefMOPWT3k5/kni4+WfEB4uuPNOaYvQoYN+1RMa1t8XYR8yCDUlGeegwZx64V3WrjVnkiYTBw5khYvi4gy/hqltWz2gXNTloOuy1M7cuWbmzzdz4YL8DWXLGvToIX9D06aBDu7/BgI1ct++fW9lPp8H/AK0BZbt27fvl9q1a3cH+u/bty8nLc2G6wTqylDSUrEuWoBtzkysK5ah6Lr/TlMvV4HUL75Gu7lVobXnUv1p+/kHIp9+Aseo18gY+lyhtae4IyFBYfJkWW8uLU3BZhP06yfLxfjchvM9RoUg4oVn8dxxZ5Fmu+ULQhDyw3QZTUlLxdO2A2njJmBUqhz0r/q3H/OXg23OTMLfeBXTieMA6GXK4u7bX4rB69W/LClVE46injyJmngBcfY8qYfOk37kAu6TiSjnz2NLOU+46wIljHO8yhuM5XkAltKJdqwihiQc2InlAj1MCzheox1xTcr7hd1162YTdmeLQCvJSQhbSLG0ZSlqFOhY9XqxzZ+Hu1dfBAq7dknx9ty5Fn9WW1SUoGtXaYvQtq2er9I1bjfsmZ/ADa89xFj7q3wa3x3DkP95WFhWHcF27XTq1DGumURrGqxebWLePDMLFlj8+rlKlQx69PD6y+FcS7mxvCBoU3i1a9c2IyNRg4A5QKt9+/Ydq127dixwcN++fZf1H71OoPIH5cIFbL/NJWTGj1g2bQRk2N51z304PvmiUNpwuf40b9qAdmOLYh8RKQo4HPDTTxYmTbJy5Ig8k9xyi8a4cS4aNChY59ziBPXkCSKeH4btzyWIsHAco1/H9chjQc0q/F865tVTJ7FsXI+7p/SXsi5eiH3wQNzdeuDud7fMqgtyYeTERDi4Hw7Gmzl4UMW6aT2xKUc40fE/tGplpcmh6dR77UEA9MpV8LRui7dVG7yt2+aYnlUcaUT164EICSXlh5n/807u+UWwx6p553ZMu3f5p4BzgxCwZUvWFNmpU/LYi4uTeqNevTRuuimn3sgwYPfuLB3T+vUmMjIUFAxUk0LTpgZ33HiarnHrqTDo9gKV6no8sHKliblzLSxaZPbrqd5/38ULL4QUGYFCCJGnR61atTrXqlVrca1atV7PfO6uVatWdOa6uVatWqJWrVrmy+3D69XEdVwlEhKEePRRISwWIV56SW5zuYR48EEh/vij8NqxYIEQ2vX/Ma/QNCHmzROiXTshQIhSpYRYtuwadnjunBD9+wtx8GDQ2ljgMAwhpk0TIiZGiCpVhHA4irpFxRetWgmhqkKcPCmfe71COJ1F26b4eCHGjhWie3choqLkQPY9qlUT4pFHhPj2WyGOHhXC7Raib18hHnpICF0v2nb/r2PNGvl/mExCHDqUp4/ouhCrVgkxeLA8F/n+xrJlhRg6VIg//xRi0iQh7r5biLi4wL+6Xj0hhg0T4rffhEhJydxhnz7yxUK8BmVkCDF7thBPPCHExo2F8pWX5DT5FpHXrl17GrAeGMH1CFShQ0lOQoRHgMWC9fdFRD1wN84nh0gvHqT+xChXPmh3qdn70/bjd0QOewrn40+Q/vb7Qdn//xcIAV9/beG//7VhGAojR7oZMsST70CMbc5MIgc9ivOJIaS/8U7BNLaAoJw5g+nMKbSGjQEw7dmNXvuGax6r/8pj3uPBuuxPbDN/RsTF4RgzFgDrwvmoZ8/g7tcfEWEv4kbm0re6jnnPLixrV2P5aw2WdX+hpiT7X3b1/w9pH38mn2iaTJ93Oq9HojIRrLFqWbmcqIf+Ax4PaZ9OxN3nrnzvQ9Pgr7/kFNn8+ZYAt2+QuqPsOqbcSlqZ9u4h9NvJON75oMi86opSA3XFGdDatWvXBaru27dvQeamw0A1YAFwM3AMaJ35/DoKGNk9lkz792Vu9L0oiLq7N0pqKu6evXH37icL+QZhis2yeiX24UMxYmJwDRh4zfv7/wZFgccf99K4sc7AgeG89ZaNTZtMTJiQQfQVzIGzw927HykREXhuub3gGltAEKVLo5UuDcj6W9Hdbkdr0VIahf5/mAYWAvPGDYTM/Bnbr7NRk2TdPW+z5n4NkadLtyJu5BVgMqE1aITWoBEZTwzJQai8TZr5Mwztgx/HumI5wm4nefZ8jIqV/n/8zwUM66IFRD7+ECgKqVO+x9P56uoSms1kEiSdMWPcrFplYsUKM1WqSOJUo4Zxxb9Lr1PXT/5BloHRmjQtVgWnCxJ5EZFXBz4AtgAWoA4wFPAA7wFHkZl5L1/PwitcKIkXCH/vbdJHviot+p1OIl4diW3+XNTEREBqFly9++Huc1e+HIh9KFnSTuJfm4nuciuKM52Umb/ivbl1sH/K/zPY6ddPY9UqM5UqGUyZkkGDBldXZ085cwaRSUr+TVAuXCBixHC87Tvhuu/Ba9pXsT3mhUA9egTLlr8xb/kb2+JFmBKOAKCXKo27dz/cd90tLUqKKbG4lr6NGD4U28LfUC9cQC9XHsfrbxPx5mt4W7XG49NQVawU5BYXb1zrWLXN/Bn700+ALYSUaT/ibdcheI27RqjHjxF7UxPQNNJHjCbj6WcLJSpVrLPwgonrBKpgYZs9g5Cpk0kbOx7z0SPYZs/EtnA+ilOmPWt16uHq0w93r74YlavkaZ8lcaE3b4Hp6BFSJ3wpzRGv45pQsqSd06fT+OADKx99ZMNmE4wZ4+a++7z52k/YR+8T9sk4khYt/fdaSWRGXhRHGvannyT9hRHodevlaxfF5ZhXUpIRIbJgoJKWSmzLxgFu5EZ4BJ6u3XH1uxtv2/ZBF4MXBK65b4Ug9LNPiHhjNIY9EoSB6nD4X9YrVcbbqs3/G0J1Lf0Z8u03RLz4LCIyipQfZhRqofG8wrxpA5GPP4zp5Anct99B2qcTC7wyRVESqOtuHf9DsKxZhXX9X8Te1h716FHSPp3I+T2HSP1qKu47u2E6dICIt1+nRPOGRN3dW168LgeXC3r1wnT0COnPvXidPAURJhO8/LKH7793EhoKzz4bwrBhIWRk5H0fWu06KM50Igc8gOIoegJxVciMvFgXzse24FdibmtH2IdjpEtpcYbXi5ppLQAQ+ul44mpWwrJhHQDCHolerQauHr1xvPY2Sb/+zoU9h0j7dCLeDp3+FeQpKFAUMoYM+z/27js8iqp74Ph3Zls2nY70PggKSlFEpAkKYlcUKwo2bKivXfS1Kwryig272HsDC9IRBaR3hi6g9JTNJtk2M78/JmzIDwgJbNiU83mePNtnT05mZ0/uvXMvOS/+z95HVRXf2HH2TPX9z0XxZZPw+Sek3jmMGh1PoHqnE0m54xbcv/4c78jLFe9rY0m57y6sGjXI+nZiuSyeACKdTyVzyu+EevTC89uvVOvTHefSxfEOq8xIC1RlYll4vvua5Af/g5qVRahbd3L+91p07h0lOwvPTxPwfPs1Rv36+F9+HQD35F9Rd+8mcP5FhQtOWhYpw4aS8O3XBC66hJxx75XbboaK5v/vo1u2KAwd6mXpUgdt2xq8+24+zZqV7KOS9NjDJI57tVL8jdyTfyX53rtwbP+XSNsTyRn7eolm4C/zz7xloW7dYnfFLVxgXy5fitG0OZkz7YLJPfU3vK+/St499xE+/Yyyi+UYi2VuPd98ScrtN9vdT+M/tZcmMk0cq1bi/vN3XH/MxjVnNmpWFvnXDcX/whgA3BO+R8nNJXjehVT06cyPJJ+JI58hafRIjHr1yf7qB4yWrcoouhgyDBJHjyRx9EhwufA/8wKBa68vk+OTdOHFUJUuoAqoO3fYc+9M+gUzKZncJ545cCZo04z2T6ed3w/XvDlkLFltLxUSiZD09OMkvj4WunZl9+ffH9FilOLgDraPBgIwYoSHDz90k5pq8corAfr3jxx+Y+Ew6Reeg2v+PHKeG1XhB/grvmySHh+B9+Px9gz8d95trwd5qHVxiP1nXvFl41y8KDp2ybVwAeqe3dHHLYeDyPFtiXQ+xR5AW4GL1sOJdW6jA6AB39vjCfUfUPQJpolj9SpI8GA0bwlAev8zcS5dzJ61WyA5GWXvXtyTfyXctVuZTMxalo4kn96xY/B+9D5Z30yocL+va9pkUofdgJqZSWDgIHJeGBPzIlgKqBiSAqqAZeH56nOSH74f1ZdNqEcvuzXqIOuSqZs34Zo3J9pF5/5pAmnXX4XRuAmO+X+xGymeYqm4ffSLL5zcf38C+fkKt98e5OGHQ4edLVj99x+qndkNxecja8IkIh06lUHUx5ZrxjRS7rkDx7atRLTW5Lz8+iF/r6P6zEciOFavwjjhRFAUHCtXUK336Sj7HReN+g2IdOhEuEMnIh07ET6xfYVvCSmpsjieumbNIO3aKyAYIOeVcQQvvbzY5ztWrcSpryZ40aUAeL7/htSbrgcg3KEjuQ+MsLtFK0AhW+J8Gob9+xT8k6v4c8rFtBZHQt22ldQbrsW1aCGR1sfje+9jjBYtY7Z9KaBiSAqootTt/5J8zx14pk7GTEkl96nnCFxxdbEHG/eP3+H95EP8T4+keteO5S+fpmmvdL92DY41a1AzM8i//gbMBg3jHVmJHG4fXblSZehQLxs3qnTtGuHNNwPUqVP8R8c1Yxppl1+E2aAhmVNmYVUrdkq2CkHx55D01H/xvv8OlqqSP+wOcu9/+IAlQkqz4LX6zzaUvDyMVhoAKbfdRMJXn5MxdxFGsxYQCpF21UAi7U+OFkxmnbpl8etVCGV1PHXOn0falQNRcnxk/v5Xqbql1K1b8Pz6E67pU/FM+Q2AUJeu5D30aLk/Q7hE+QyHSbntRqwaNe35lSpAYXhYoRDJ/32YhA/eJfvbiTH9O0kBFUNSQB2EZZHw2cckjXgQJRIm48+FJS424ppPw0Dd8jfOtToOfY1dMOlrcK7TUfLyok+LHN+GrB9/tadyqABKklOfD4YPT+Cnn1zUrm3yzjsBunQxin1N4ovPkfTicwT7no3voy/iNrFdrLn++J2Uu27D8fdm/I/8l/zh/yny+CEXvPbn4Fy8KNoN51y0AMeunQT7nIXv068Be2JS1+xZ5N02HLNZ82Py+1QkZfn5d6xYjmv+PHtpnyPdxvJlJL3wDJ5JvwAQ6t6L3AcfsZeYKodKkk8lK5P0C/pjpaaR9eX3lWpNQcf6ddHWJ2XvXqyUFI52DRgpoGJICqhDU7dtxbl0CaEB5wH2PFJWterF/odzrPKpbvkb54rlhPqdA6qKQ19DtbN6oPy/09IsjwejRSsimobRqjWRVq2JnHAiZpOm9hP8/sKB8OVUSXNqWfDGGy6eesoe/zNiRJBbbw0f+s9lGKQNuhj3zOmVb5Hn3FwS33yNvGF32F8opmkPHEtMtPO5PRPHmtWF45YWLcChrynaFVf3OCIdOhHq0euovrSrkmN2PDVN3BN/IHTehUfU4uJcOJ+k55/GPXM6AMGz+pH3wCMlOgnhWCppPpXdu7ESEytvV3E4TPpFA8AwyP7yO6yU1CPelBRQMSQFVAkFg1TrcwZGsxb43v2QQw20iWk+w2Ecmzbi0Ffj1NdgtGhJ8MJLAEi5ZQgJ337N3gXL7YGSubmkX9Afo5VGRGuN0ao1hqZhNGpyyFidixeSdsUl5Ix+JVoklkelzencuQ5uvDGBnTtVBgwI8/LLAVIPcbxR9uyh2pndUDP2kjF/GWbd42IUdfmS8M44vB+NJ2viJGo2q0/2+5+QNuTq6ONWYhLhk04uMnbJPK5eHCOumI7V8TTxhWdJGvU8/mdGkn/jsCPejuvP2SQ+/zTuuX9ieTzsXboGq3qNGEZ6dA7ZWpqVSepN15P70KNETu4Yh8iOsbw8Uu65AwyDnLfeP6puynK9lIuonBSfD7NmLczjjjtkQXLEgkEcGzfg1FcXdL3pONauwbFhPUqk8Myy4DnnRQuo4IWXEmnbDstbsGZWUhJZU2aV6m2VnByIGJVjzMB+unQxmDIlj5tvtrv0Vq1y8N57+bRte+Ds5VbNmvje/RAlEqm0xROAmpmJY8M6LMXupox06kz+VddGCyZDax37/VqUmcDgITg2bSRw2RVHtZ1w125k//ALrhnTcK7To8WTc9kSzOSUctlNq+zaRfplF+JctQKjeQv8VaGASkwk54137Pne9s0FN2USod59K9TQA2mBqspM096BPR6wLBJfHk3+VYOxatWKPqXYfJomjpUrUHJziXQ5DQDvm6+R9PgIFKPoeB0zJbVIa1KkdWuM1m3shY9jSMnMKBxAHQza/evlrKA60n00EoHnnnPzyisevF6LkSMDDBp0mKkO9h2gKmEx4Vi/DrNOHWo2qy+f+TISr+Opc/lSIq1aFzt9RYlZFuln98S5cgUZC5bHtSXy/+dT/WcbaZeej3PDenvuq+dHV6gCIlbcE74nbei1hHqdie/1d7BqlLzVUFqgRHyoavQA5f55IknPPon3zdfIeWGMPRZhn7w8nOvX2q1J+hoCg66yBwIqCunn98Ns1Dg6oaDRuCmRjp0LCiWNiHY8htbabg05BoVMtHgKh0m7dhBG4yb4nxtVKWZ+djrh0UdDdOpkcscdCdx5p5f580M880zwoNN0KTt3kjbkasKnnU7uiMePebxlLZanQovyw7F8Genn9SN8ahey3/8EEhOPept5t9+Fa+mSaPGkbtoIXm9cW2nVjRtIH3gBjq1byLv9LnIffaLc/bN3rIRPP4PgmX3xTJ1MtT5n4HtnPJGOneMd1mFJC5SwmSbet98g6ZknUAIBgn3OAkXBs34t1ubNRQbj+sa+QXDQVQB4x76ElZZOYPCQeEV+UMrevaRfej7OlcsJnnsBvtffLjeTgcZiH920SWHIEC8rVzpo186evbxx46IfL8WXTXrfHkRO7kDO6+9U2v9s5TNfduKS2/x8Um+4Fs/kSYRPPY3sT77ESk2L6VukXnkp7tmzyL/uBvLuuLtIq3tZ2pdPx+pVpA28AMeuneQ+/Bh5w/9TZYunKNMk8eXRJI58BhwO/E8+S2DITYfNiwwijyE5mB4dx/p1pNw5DNeCv+w76tQh1FLD0Owz3gytNZG2J1SIKQMUXzap116B+8/ZhE4/A9/4T2N+ID4SsdpH8/PhoYc8fPqpm/R0i9dey6dv36Jdp8qePXZzeCU+OMtnvuzELbehkD1H1w/fEm53EtlffFeqbp1iWRYJn3xI4ksv4Ni2FSsxibybhpF/6x3HZOHbzMkzSbv8ItTMzKMeNF8ZuWbNIPWWIah79hC46BL8o8cWO4moFFAxJAfTGDAMHGt1e3yJ1qRi5zMQIHXYDXh++pHwCe3I/uwbrDp14hpSrPfRTz5x8eCDHoJBhbvvDnL//aGD9li6J/1CqGfv2IwrKUfkM1924j0PXPK9w/F+8iERrTXZX/0Q2y63YJCEj8eTOOZFHLt2YqamkT/sdvJvGnZUp9UXp9aaJZjnDEDJyyVnzKsEr7j68C+qgtTt/5J6w2Bc8+cRadkK37sfYbQ+/qDPjWcBVTnb9MXRcTgwjm9Trk7/PWIJCfjeGU/+tUNwrVhGtQF9UTduiHdUMXXVVWF+/jmPxo1NxozxcNllXnbvLvqZ93z1OWnXXE7yYw/FKUohSsnhwP/SK+TdfBtOfQ3p556NunlT7Lbv8RAYehMZfy3F//gz4HKSNPIZqnc6Ee8r/4Pc3Ni9F/bAeM4+GyWQj++t96V4KoZ5XD2yvv+ZvFtux7luLdX69cLz9RfxDusAUkCJys/hwP/iGHLvfRDHls1UO7cvzqWL4x1VTJ14osnkybmcfXaE33930qdPIn/9VfjxDg44n8jxbfG+/w6eb7+KY6RClIKikPvks+Te9xCOLZtJP78fDn1NbN8jMZH8W+8gY/4ych96FEyL5Kceo8Yp7fF893XM3iZyfFu48EJ8H35G6PyLYrbdSsvlIvfJZ8l+9yMs1UHK3bejbtsa76iKkAJKVA2KQt79D5PzwhiUvXtJu3AAroJZiyuL9HQYPz6fESOC7NypcOGFibz1lgvLAhIT8b33IWZyCin33IljrR7vcIUoGUUh776H8D/xLI4d20m/sD/OZUti/jZWcgp5d99HxoJl5N5zP+TlYbn36+4u7XAXy8Lz2cckjXjAvu10wqefEupzduyCrgJC511A1uQZ+F5/u3AJsmM49Kg4UkCJKiVw3VB873yIEg6Rcvft9lxRlYiqwp13hvj663zS0y1GjEjgppsS8PvBaN6SnP+9ipKXS+rQa2LeRSFEWcofdjs5L72CkpFBwmcfl9n7WGnp5D04goyFywmdcy5gTwlSredpuCf8UPINKQreTz7E+/47qDt3lFG0VYPRvGXh1Dr5+aRdegHuKZPiGxQyD5SogkLnXUB29epYqamVbkD1Pt26GUyblscNNyTwww8uVq5Uee+9AK3Pv4i8G+eQ+PY4Uu4dTs7rb1fqM/RE5RK4ejBGi5aECxYLVrf/C+GwvfxTjO0/BtQ1fx6ODetR9+455PMd69biffN1cDrsCTGBnJEvYaWnY9apG/P4qirXkkW4/pqD0aRp3FvzpAVKVEnh08+ILjSq/rPNHjRaTpqFY6VuXYvvvsvnlltCrF/voF+/RL7+2knuf58m3LETCd98ScKH78c7TCFKJdyla3Rmfe+7b1Gj04m4Zs2IPq74Y39GVujc88mYt4TAldfYd/j9pF18Lu6fJuD6fSapVw2k+umd8H74Hq7Zs+wVAACj7QmY9RvEPJ6qLHza6WROmoH/mZHxDkVaoIRIfuhePL/+jNGmDaEzz4p3ODHlcsGTTwbp3Nlg+PAEbr3Vy/z5Dp55bTx1+ncj+ZH7iZx0MpH2J8c7VCFKLdz+JIL9zyXcoRNgrytXo71G5KSTCXXvSbhHb7u1yu0+6vfavxByz5iK64/fcc8uXK8z3OkU8obdYXf7VYKVD8ozo03beIcASAElBDmjXyHcrbu9kGUldd55Edq0yWXIEC/vv+9m6VKNL598h+Z3XELq0MFkTplZ5pMIVmXhsL30ZCXtMY6b0HkXFll2St27h0jHzjgXzse1cAGMGYWVmESo6+mEu/ck1KO3PZ/QEXZbK1mZJHz4Ad53xqFYFhYQ3ZKiYFWrJsVTFSITaYpiVbl8WhYJ775J8NLLy6ygiGdOc3Ph/vsT+OorF9Wrm8zq8TBtfhpD9oefE+7dJy4xHa3yto/u3q2wcqXKqlUqK1c6WLlSZd06FVWFLl0MeveO0KuXgaaZ5X74WXnLbUkpOT5cf/6Ba+Y03DOn41y3NvqYUbuOXUyd3Z/gBReXeJvesWNIeukFlLxczKRkAldfS/6Nw1Byckh64Vk8v0wEIHRGD3IfGEHklFMP2EZFzWd5JjORx5DsoLFV1fLpnvgjaUOuJnJ8G7K/+K5MFhuNd04tCz780MUjj3gwQgbPXbeCa55rXmH/cY5XPsNhWLeuaKG0apXKrl1Fh5Z6vRbHH2+Snw+rVxcmuV49k1697GKqe/cI6eVwdaR476uxov77D65ZM3DPmIZ71gzUPbsJ9jkL36f2PE/O+fNQszIJdesBXq/9IstC3bE9ugBxwrtvkfjKGPJvHEbgmsEHLAvlXLyQpJHP4J42BYDgmX3Je3BEke7xypLP8kQKqBiSHTS2qlw+TZOkEQ+Q+M6bGA0bkf3FdxgtWsb0LcpLTpcsURk61MvWrSo9e0YYNyaTWv7NGFrreIdWKscin3v2KAWFkl0srVqlsnatSihU9NjaoIFJ27YmbdsatGljXzZpYkWL0x07FGbMcDB9upMZM5xkZtqvV1WLDh32FVQRTj7ZLBcFbXnZV2PKNHGsXoUSCUeLm5QbBpPw43dkzFmI0bwlRCKkXdAf5/q17F28GhIT7SlPVNUeWFgM59w5JD3/FO4/Z2N5vexduibaml0p8xlnUkDFkOygsVUl82lZJL48mqRnn8SsXp3sT78mUjBINRbKU04zMuC227zMmAoLXKfROmUb/lmzsWrXjndoJRbLfIbDsGHDvkJJZdUqu2Vp584DW5Vat96/UDJp08YgrRRrVRsGLF2qMn26k2nTnCxcqGKa9rE6Pd2iR49ItIXquOPic4ZoedpXy5Jz3lzc06cQPOc8jHbtcc6fR7UBfbGcTsJn9CB49jmEe/bCaNq8ZOOnLAvX7zNxbFhP4PobAEh86QWS5vzO3lfeslu28/NJGj0SMyUFKzkFKyUFKzXNvkxJwUxOwUpJxUpJsQfPlff+3jiRAiqGqsoH/lipyvlM+Hg8yfcOh4QEst/7iHCMBpmXt5yaJowZ48YYOZaW6nqyHx/J4Jsd8T9eW5ZdZRScsq74slF8PgiFUEIhlHAIMyWVGh3asjsjr9Sbz8hgv643+1LXD2xVql+/sEDa17rUtKkV8xai7GyYNcvJjBkOpk1z8s8/hUXb8ccb9Oxpj5869VSDhITYvvehlLd9tSyo27bifXscCR+Px6penYy5i3GsX4f3rddxz5yBY8vm6HONBg0J9ehFuEcvQt16YNWsWeL3SbntJhK++pw9K9Zj1a6Nuv1farQvWWuv5XKRMX8ZZr36KJkZpA6+ktCZaMOf/wAAIABJREFUfckf/h8A3FN/w7ls6X7FWGpBQZZaUIwVFGJeb6UrxKSAiqGq8IE/lqp6Pt2//kzqTddBJELO2DcIXnr5UW+zvOZ0xnSVW4Z5ychQuf70VXSs9w8pnhApnhDJ7iBJrhCJTvvH6wjhdQTxKGGM9u0Jd+8JgOfLz3AtWkDuQ49ipaWjZGaQ8p/hELaLHsLhgssQSih8wP0Z0/7AqlMHdcd2arTTCFx8KTnj3gMg6bGHSRz36oGBu91EmjbDaNYCo3kLe6LF9idjtD0BgEiksFVp//FKO3YUbVXyeApbleyCyS6aqsXh5ETLssdXTZ9uF1Nz5jgIBOzjuNdr0bXrvsHoEZo3t8rsO7G87qux4Fy8EO+4V/H8+D2KYWDUrkPghpvJu+V29q9Q1c2bcM+cjnvmdFyzZ6JmZUUfC5/YnuBlg8i/+bYSvWet6ons3ptrFzHBIM6lS1D8PtScHJTojy96qe53O/vL77BSUlE3b6L6qScRGHQV/pdfByD5gXvwvv/OYd/fcjgIXHkt/tEvA5Dwzjjc06bgf350dDJSxZd9wPiu8iYchjVrVFq0MGnUKH4FlExjIEQxQv3OIfvL70m9ZhCpt96If/du8ofdHu+wykTPXiZTp+Zxww1eev/xLFfzSYle97rrDp6uOYDUVIuXds/inIxPuH3LAwTreKjrcDJqYtHlL0zVgeVyY7nc4HJhedwobjdmmhfFMrEAy+sl1LUbRotW0ddFTjqZwMBBWO6C17lcqJmZJPy9EXWNjnO/RWYXd7yeF1u9ycqVKn1XjqW9sYj/8iI7qQtYNKubS58+CUW64Jo1M/c1dsWdokCrViatWpncfHOY/HyYO9ceOzV9uoOpU51MnWoH27Bh4WD0M86IkJoa5+DLM8PAPekXvONexT33TwAibU4g75bbCF506UHnmTCbNCXQpCmBwUPAMHAuW2IXU7Nm4PprLpHNm6LP9Xz2MeqePQQGX3/wIsThKGwB8ngOeqbe4ZhNmrJne2Z0sk6A/JtvJdhvAIo/p0jRpeTkoPhzUHw+1IL7zIYNo69zrliOZ8pv+CMRwC4Wq/XpTv4NN5F3130cs6bOEtizR2HaNAeTJzuZPt2Jz6fw8MNBnnkmfjFJC5QoluTT5li1krRBF+PYsZ3cu+8l76HHjnhb5T2nhgF7xv2Ac/Uq8k03+RE3eRE3eREP/pALf9iDP+gmJ+ghJ+hmXaQpS0Jt8fuhWvbfeA0/Ohph3CiYVCeDEG5CuAnjwuTAvi9VtUhJgZQUa78filxPTT3wsYwMhU2bvCyYH2bH8r2k7VxHK9aynhbMogcej8Vv7nPpnvMzLz6ygxYdU2hX7W+a92qDUb9BQatVc4wWLTGatyDSvCVmw0blfi6ff/5RmDHDybRpDmbNcpKdbX8pOxwWnTsb9Opl0KtXhHbtTNSjWG+ivO+rJZabS8IXn+J98zWcmzYC9lly+bfcbreeHmkTXm4uSn5+tCsvvW8PnKtWsGftFkhKQtmzB8+knwl174nZsFH5y6dl2XObeL3gcOD8ax6pN1+P459tRJo1xz/qZcLduscttBUrVCZPdjJ5spNFi1Qsy/47NWxo0qdPhOHDQ7RvnyxdeLFS7nbQCk7yWUjduoW0Ky8l9+H/Euo/4Ii3U5lzalkQCEBOjkJOzr5LBZ/Pvu3377uu4PPZt/ddz8lR9nuc6IDqkqpb14ye+bavC65FCxMnEdR/tmE2bgKAY/06kh+4B8eG9Tj+/efA38HtxmjSFKO5XVTlPvJfu6AyTfuLtpyNIYlEYPFilWnT7DP79v+iqVHDpEcPu5jq2dOgTp3SHYIry76a/OB/8L73NpbHQ+DSy8m/+TZ7Qs0YU3btwrlyOeFeZwLg+foLUm+9EYBQl66433mL3bUbxfx9Y0nx55A48hm8b49DMU27q/Dxp4usDVhW/H57HOCUKQ6mTHFGu9n3/WPQt69B376RInOoyRioGKosH/jyQvL5/4TDhacx+/32l2lSUqk2ITk9PMuCvLz9C7DC6/sKM59PITnZ4vTTE6hf30+NGkdweMnNxbFxA86N6+2Cav06HBvX41i/HtWXjVmzFntXbQCw1zy7/mpyH/lv9Mwq5/x5WAlejGbNS70flJXMTPtLaNo0u7tv/7FeJ5xgF1O9ext07mwcdoWTirqvOlYsx/PrT+Td+6B9W1+D5/tvyL/+xjI9wzQYtFsH//5bZetWFd/KbdRf+BPtNk2kS84UDNWJfv7duJ+8l7S63jKLIxacSxaRfM+duFYsw6xRA/8TzxIcOCjm/0Bs3KgwZYrdyjRnjiN6Ekf16ia9e9sFU69eh54nTQqoGKqoH/jySvJ5CKEQaVcNRPHnkP35t1hpJZ8FUXIaW2WST8tC2bMHdecOjBNOBMA1bTLJjz1M3j33E7x4IADpZ56Ba/lSAIx69e1B7Pv9RLsE4zS4yrLswbbTptnjp+bOLfyCSkqy6NbNiM491bTpgYfnirqvpl59GZ7ffiXztxlETuoQs+1GIvDvvwpbtqhs3WoXSvuub9mismOHEm3925/TaXFW5Gde51Yas4V1tOCZ+q8SPKM3nToZdOxo0Lp1+Zj7q4hIBO9bb5D0wjMoeXmEuvci58UxmE2bHfEmQyGYN88eyzRlioP16wt/6RNOsAumPn0idOhQsnxIARVDFfUDX15JPg8hHCZl+K0ovmx8H3xaqi9IyWlsxTOfCePfw7lyOY4NG3BsWHfwLkGXC6NJU3IfedxeaDaOcnNhzpzCwej7f3k1aWIWtE5F6NzZID0d6tSpAPtqIEDC11/gWLeW3CfsEcXOpYtRd++y17csxSAw04SdO/e1INlF0f4F0j//KBjGgd+nqmpRr55Fo0YmDRval/aPfb1uXYvsbNi8QsHz3AjOWPgKDkw+4mru4SX2UIukJIsOHexiqlMngw4dTGrWjM/8X/+fuuVvkh+4B8/UyVgJCfj/+xSBoTeX+PW7dilMnWoXTTNmOPH77RwmJlp07x6hb1+DPn0iRzTfmRRQMSRfTrEl+SyGadr/ThWcqVLS038lp7FVrvKZm4tj00acG9Yd0CWYNfE3e9yNaZJy+82E+pwVbcmKly1blGgx9fvvTnJyCr8rFMUiLU0hNdUkPd0iLc2KXqalccB9+z+WlmaVeaObsns33g/ewfv+26h79mB5POxdvLrYuZksyz6ba8sWha1b7eLo778Lr2/bphwwD9g+deoUFkT7iqOGDe3r9etbh5ugHCjcV53LlpB8z3BcyxaTn1idD9q9yP8yBrN2bdEml6ZNzWhB1amTfcZo3M4UtSw8P3xL8iMP4H/sSYKXX3nIp5qmPUms3crkZMmSwt+rcWMz2srUtevRz2kmBVQMlauDaSUg+SwZ94/fkXL/3WSP/5zIqV2Kfa7kNLYqRD73HWcVBceK5VTvfTqBy68k55VxgN1iYqalYzZpGrcQw2FYuNDB9OkOVq9WycpSyM11snevSVaWQl5e6ca+JCcXLa5SUy3S0zmg6DrYYwcdm2Wa9hQCUyfjnjoZ56IFKKaJmZ5OYPBQ8ofciHlcPbKyiLYcbdmyr7tNjRZNh/o9atQoLJDswqiwWGrQwIrJGf1F9lXDwPvumyQ9+xT5199A7n+fIjvb/hssXOhgwQIHixY5omdYgt1i0769UdDtZxdXpT0x4GgpvmyslFRQFBRfNoljx5A3/B58pDJjhl0wTZniYPduu+XP6bTo0sVuYerb16BFi9guoi0FVAxViINpBSL5LBnPl5+RMvxWcLnwvT2e0Nn9D/lcyWlsVcR8qps3oZgGRrMWAKSfdzaueXOIHN+W4DnnEjrnXCIntIv7GX/75zYUguxshexsyMqyB/FnZdk/2dn7Los+tu/+/Vu2SiIxsbDAOi/yHX1yf6Dz3t9ID+4C7LnEdjQ5leVtB/JTrcGs354cLZR8voO/V2pqYUHUsKFF48aF1xs2NElOPrpclcTB9lX1n22Y6dXskxBMk4SPxxO4/ErweDBNWL9eZeFClQUL7KJqzRq1yDirRo0KW6k6djQ44QTzsCcHxIJlQfCh52j43nO83nQkd227j3DYjqtmTZM+fezxTD16lO3cZFJAxVBFPJiWZ5LPknNPmUTq0GshFCLnpVcIXnH1QZ8nOY2typBPz2cf45n4A+6Z0+2Z2QGjYSOC/QcQOuc8wqd0ictA9FjlNhIBn49oUbXvp7DIKijOMi1q/7MEX66TecGTyc5W+DjrXAbwM9upy6/04xf6M5m+ZFF0ivjEROuArrX9W5FKs05hWTlcPhM+Hk/KPXeQd8vt5D757EGfk5MDixcXtlItXKiSkVE4zsvjsWjXzox2+3XqFLu1FINB+PNPR/SsuX83h7mZNxnHLbRp7+CsXvkM6Lyd1mfWPar5x0pDCqgYqgwH0/JE8lk6zgV/kXbVQNTMTPyP/Jf8O+85oBVBchpblSmfij8H17QpeH6eiHvyJNQcHwBm9eoEzz6HUP9zCfU686AzZpeFY5FbJSvT7hJyOHCsX0f1rh0JnnsBvvc+AkBdtIi8gMrO49rj8zuKtHqlpFjR7rYaNcpuSZtYOVw+FV82iaNGkn/bnZh16tp3+v0U1zxmWbBpkxJtoVq40MGqVWqRwe716pnRFqpOnQxOPNEscZfkjh37phlwMHOmM9oFmpRk0bNnhL59I5x5pt2V6B07hsQxL5L7yGMErr+x7CakNQyUzEysmjWlgIqlynQwLQ8kn6XnWKuTdvlFOP7ZRt5Nw8h98rkiZwJJTmOr0uYzFMI1exaeX37C/ctEHLt2Yjmd7F21ASu9GuTnowQD9vUyUia5NU2cK5YVjmVa8BdZEyYR6XwqWBZJjz1MuGu3o5qstrwqbT7dv/1Cyl2343/qOfuEgxJWiLm5sHSpo6Cosrv/9uwpPAa5XHYrVceOhUVVgwZ2AWoY9sSs+1qZli8vLIKaNzcLxjJF6NLlwHnEPF9+RvKIB1Czsgh36EjOqLHRaUBiQd2xnYRPPiTh4/FETmyP78PP4lpAlZOVn4SoPIxWGlk/TSbt8otIfOsN1D27yRk7jmMyMEFUHm434d59CPfuAyNH41y0AOeqldGCyTPpZ1JuvdHuLh50VZyDLZ6SlWkvyFtQNKm77bFMlqoS6dgZZd+6bopC7lPPxTHS8kXdtQsl10/qsBsIffEpOSNfKtEcTElJ0LWrQdeuBmC3Um3ZokRbqBYscLB0qcrChYXFUe3a9uz9y5er7N1rF1sul0WPHpHoWXPNmhXfBhK87ApCvfqQ/OiDJHz7FdX6did/2B3k3vsgJCYecR4cK5aT9NILuH+ZiGIYmEnJmPXqFZ6cESfSAiWKJfk8ckpmBmnXDML111xC3Xvh++BjrOQUyWmMVdV8un+eSOLLo8gZ/Yr9X75lkTr4CsIdOxM65zyMlq0Ov5HDOJrcOtasxvPrT7in/IZz4XwUw/4yN2vWItS7D6Ez+xLq2RurWvWjjrOiOJJ8qn9vJuWBe3BPm4KVkEDuvQ+SP+wOSjRvQjHy82HZMruFal9RtWOHSp06ditTnz4GPXpEjnhwvWvaFFLuvwfHls0YjZqQ88JL9j8DJaT4c7CSU+xtzfmD9Av6E2l7IvnXDSV4ycDoY9KFF0NV9WBaViSfRykvj9Sbr8cz6Rd8r4wjePmVktMYk3zaHBvWUa3bKdFCJdKiJaFzziPYfwCRkzuWakLJfUqTWyU7C3X79ugac0kP30fiO29iKQqRjp3tgunMvkTanXREsVQGR7yvWhae778hecSDqLt3ETm+LTmjXybS6ZSYxWZZ9jJA6ekx/PPk5ZE06nm8b7yCYhgELh6I/6nnsWrVKvZl3rFjSBr1HJnT/8Bo3hIsC+eyJfa+c4zHlEoBJY6Y5DMGIhHcP08gdP5FgOQ01iSfhZTMDNyTJ9mD0KdPQcnPB8CoexyhfucQPOc8wl27lbg7udjcWpY9YMbphGCQmloTIs1bkDX1dwAcy5fhXKfbrUzHYCHaiuBo91UlK5Okpx7H+9H7WIpCYPAQckc8XqIJfOPJsXwZKffeiWvxIsz0dHzjPyN82unRx5UcH86FCwj37A2A5/tvSBz5DP7RY+39tRhSQMWQHExjS/IZY5ZFLX0pu1ufFO9IKg3ZRw8hLw/3zOl4fp6A+7dfUDMzATBT0whccRW5Tz1/2E38/9wqvmxc+8YyTZtC7qNP2AvMAkmPPoiVXo28u++rsi1MhxOrfdU5dw4p9w3Hqa/BqFOXnNfeIty959EHWJYMA+97b+F98w0yf5uOVb0GzmVLSBj/HgnffAVGhL1L1mDVqGEX5qpaokHzMohciCoi8bmn4H+jcL8zPtoiJUSZSEwk1H+AfTZbJIJr7p+4f5mI5+eJKHl50ae5J/6I6ssmcP5FB54ub1k4VizHPc0e/O2aPw8lEgHArFkTxe+PPrUkBZmIjUiX08icOpvEV/9H4tgxmBWhhc/hIP/GYeRffiUJE38kYfy7uBYvAsBo0JDAtdeD0xF9bkUgLVCiWJLP2HKs1an+xMPsHf0qZt3j4h1OpSD7aClZln2ee0GxlN6/N84li9m7cr3d1ZaXh+eXibhmz8I7Yyr8Yy+QbCkKkQ6dCscytT9ZWppKqSz2VSUrM3pmpmPVStwzp5N/4y1xmXi1OA59DQkfvkfCF5+h+rKxVBUrORklL4+MmXMxj/CkB2mBEqKKMFpp8NtvmPKFL+JFUYq0NOW89hbOJYuj45TcU38jddgN9oM1axK49PKCM+bOtLtXRLmy/zxgSc88jmfyJCLt2hM+/Yw4RlXINW0yiS+/hHvOHwAYdeqSe8PNBK4ejJWainPB/Gjx5Fi/DrNmzTKd2yyWpIASIk6cc+eQ+Nr/8L09npisVCrEETCatYiuyQdgVatO7sOPEerek2p9upOTkVfMq0V5kjN2HKEfv4sWT8revVgeT7EzmZcFxZcdHdju2LQJ95w/CHXvRf7gIYT6nVNkCobo1AbhMKlDr0Hdswf/088TvPCSuK8FeTiH7cLTNK058DSwCGgA7NV1/UlN06oDzwMbgZbAw7qu7yxuW9KFV/FIPmNvX06T77oN76cfERg4iJxX3yz3B4vySvbRsiO5ja1jnc/UIdfgXLwQ//Oji13gPJZSbr8Z9+Rf2btkDXi9KP4c1F07ixTpBxUO433jFZJGPY8SCBA8sy/+kS9hNmpc7Mvi2YVXkg7s6sDnuq6/qOv6cGCQpmkdgWeBKbquPw98D4yKSbRCVBH+50cT7tiJhK8+x/va2HiHI4SoTEyTSCsNdddO0q65nNQh16Du2B7zt1G3/4tz3tzobaN+fYxWrVF37gDASk45fPEE4HKRf+c9ZMycS6hHLzxTJ1O9+6n2sbHgxIXy5rAFlK7r83Vd/+H/vSYXGADMKbjvj4LbQoiSSkjA98GnGHWPI+mpx3BP/jXeEQkhKgtVJe/BEWRO+4PwqafhmfgD1bp2IuHdt+xpAo6GaeKaNoXUwVdSvUNbUm+/CUwTgLz7HyFrwiTMJk2PbNNNm5H95ff4XnsLy+sl+YkRpJ/dC+eSRUcXcxko1Vl4mqZdBPTUdX24pmlBoI6u61mapjmBMODSdf2QpWIkYlhOZ8U4PVGIY2bBAjjjDHtcwNy50KZNvCMSQlQmpgnvvgv33w9ZWXDqqfDWW9CuXem2s3s3vPee/dqNG+37Tj4Zhg2D66476uVlDrB3L9x7L3zwgX3G5513wlNPHesxXUc/kaamab2Ai4C7dF03NU3bCnTVdX1rwXio9bquF7uokYyBqngkn7F3sJx6vv2K1FuGYjRpSuav02Tm5lKQfbTsSG5jK975VHbuJPmxB0n47hssp9Ne6Pc/DxS/0K9l4Zr7Jwnj38Uz4QeUcBjL6yVw0aUEBg8hclKHMh+/6Zo9i+R7h+PcuAGjQUMyZ/wZHaRe3sdAoWnaAOBsYDhQV9O004CfgNMKnnJ6wW0hxBEIXjyQ3LvuxbF5E6k3Xgf7VqcXQogYserUIefN98n6/BvMeg1IfGUM1bt3Qd265aDPT/joA6qdcQrpF/Qn4duvMZo1J+fZF9i7TMf/v9fsNRaPwckv4W7dyZwxh9x77ifUu2+5WbrmsNMYFAwY/wJYAEwHkoDXgIeBkZqmtQKaA/eWYZxCVHp5D47AWbCCffJjD+F/Ts7LEELEXrh3XzJmzSVp1PO45s/DrFfffsCy7CkI0tIBcC5ZjGPTRgIXX0rguhsIn3pa/M4WTkgg78ER9kSw5YTMRC6KJfmMveJyqvhzSB/QF+fqVWR//AWhs47NqccVmeyjZUdyG1vlMp+RSHTW8uT/3IlzxTKyJs0A7DPsLKcLq1atOAZYPJmJXAgB2Kf8Zn/4OQmff0LozLPiHY4QorIrKJ6UHB+uuX9itGgFeXmQmIh5XL04B1e+SQElRDljNm5C3gOPFN4RDILHE7+AhBCVnpWSSuYfC+IdRoUiK0EKUV5ZFoljXqTa2b1Q/OWs2V8IIao4KaCEKK8UBXXnDhRfdnRWXyGEEOWDFFBClGP+p54n87eZGM1bxjsUIYQQ+5ECSojyzOXCqlkTAHXTRty//RLngIQQQoAUUEJUDOEw6QMvIPWGweVyTSghhKhqpIASoiJwufA/9yIEg6QOvlLGRAkhRJxJASVEBRHq24/cEU/g2P4vqYOvgEAg3iEJIUSVJQWUEBVI/u3DCQwchGvRQlL+c2e5WtZACCGqEimghKhIFIWc0WMJd+xEwlef431tbLwjEkKIKkkKKCEqmoQEfB98inFcPZKeegz35F/jHZEQQlQ5UkAJUQGZderiG/8peDyk3DwUh74m3iEJIUSVIgWUEBVU5KQO5Ix9A9WfQ9o1l6Nk7I13SEIIUWXIYsJCVGDBCy8hd/VKnGvWgNsd73CEEKLKkAJKiAou74ER9hVVGpSFEOJYkSOuEBWdqkaLJ8/335DwyYdxDkgIISo/aYESopJQfNkkP3QvmCbB8y/ESkmNd0hCCFFpSQElRCVhpaaR/f6nWOnpUjwJIUQZkwJKiEok0uW06HUlOwscDqzklDhGJIQQlZOMgRKiElK3/0t6v96k3HoTmGa8wxFCiEpHCighKiGzZi3MevXx/PoTiSOfjnc4QghR6UgBJURl5HLhe2c8RpOmJI0Zhee7r+MdkRBCVCpSQAlRSVnVqpP90ReYySmkDL8V55JF8Q5JCCEqDSmghKjEDK01OW++C8EgqYOvRN25I94hCSFEpSAFlBCVXKhvP3JHPIFj+7+kXnclBALxDkkIISo8KaCEqALybx9OYOAgXAsXkPKfO8Gy4h2SEEJUaFJACVEVKAo5o8cS7tiJhK8+x/va2HhHJIQQFZoUUEJUFQkJ+D74FOO4engmfAfhcLwjEkKICktmIheiCjHr1CX7mwkY9eqDyxXvcIQQosKSFighqhijRUtITATAuWgBSmZGnCMSQoiKRwooIaoo57IlpJ/fj9Sbh8igciGEKCUpoISooiIntCN40aXkDbsDFCXe4VRK6rateL7/BiKReIcihIgxKaCEqKpUlZxXxhHudaZ9W1qhjoqyZw/uKZNwzZwevS9x1POk3nQ9jrW6/ZzMDNLP6oH3tbGoO7bHK1QhRAzIIHIhBErGXlJvGUreXfcS7tot3uGUf7m5uJYvxbloIc7FC3EtXohjy98AhM7oQXaPXgAEL7oUo1VrrBo1AHAuXohz5QpcSxaT9NRjhLv3JHDZFQT7nwtJSXH7dYQQpScFlBACx9q1uGbPInXZEjInzcBs3CTeIZUr6vZ/cU+eZBdLixbi0FejmGb0cbN6dYJn9iVyckfCp54WvT/coxfhgmIKINy7L3uXr8Xz/bckfPU57hnTcM+YhpmUTOjc8wlcdgXh088AVToHhCjvFOsYNtvv3p1T5m9Wq1YKu3fnlPXbVBmSz9grrzlNGP8eKffdReT4NmT9NBkrOSXeIZVIWeTT/fNEnKtXkvefB+zbUyaRduVAAKzERCIntid8ckciHToSPrkjZqPGRzSOzLFhHZ6vPifh6y+jLVhGvfoEL72cwJVXYzRrEbtf6giU1321opJ8xl5Z57RWrZRDfrClBUoIAUBg8BCcq1fife9tUq+/msAll2HWro1Zqw5m7TpYNWuCwxHvMGNK2bkT15JFOBcvINKhE6Gz+gPgff9t3DOnkz/kRqxq1Ql3OoWcl14hfHJHDK01OGNz6DSatyTvwUfJu/8RXPPm4Pnqczw/fEfi2Jcw6tYtLKDy88Hrjcl7CiFiQ1qgRLEkn7FXrnMaDpM26BLcv8844CFLVcm776Foq0zCe2/j2LaV3HsftOeVCgRw/L0Zs3ZtrPRqx+zMvpLmU/Hn4Fy6BOcie8ySc/FCHP9siz4euPxKcl4ZB4Dzr3lgWUQ6dDz2E47m5+OZ9DOhM3raY6cCAWp0aEOw3wD8L71yTEMp1/tqBST5jD1pgRJClA8uF9mffY1r9kwcO3ag7tqJsmsn6q5dqLt2YjRoGH2q54dvcc39k9yHHwPAsW4t1c+0B6BbLhdm7ToFLVi197tep+B6HSKdTynzsT6u2bNI+PIzu1haq6Ps9w+jWbMWwbP6ETmpA+EOHYmc1CH6WOSUU8s0rmJ5vQQvvCR6U93+L0a9Blhp6dH73FMmYSWn2OOtZAoKIeJCCighRFFuN+HefTncSnk5r7+NunNHtDvLSk4m/9ohqLt2ou62iy7nqpUowUUHvNZyu9mzdTcAziWLSL3xOvJuuY3A0JvtEH6agJqxt6D4KijAatUGj+fQAVkWSY8+CKZJ7rMvAuDYsJ6Ezz/BSkwifNrp9iDvgmLJbNCwQhQfZtNmZE2ZVbh2oWWR9OhDODesx2jUhMDAywkMHITZrHl8AxWiipECSghxRMz6DTDrNyi83bQZ/lH/K/oky0LJ8UVbsPb9kJ8fLV4Uvx+CQZQ45D5KAAAUF0lEQVT9Jpv0vvsm7tmzDnzP9PQiLVrq3gx45EE42W6JcU+firp3D7nPvACKQnDA+YRP6YLRSqv447f260r0j3yJhC8/wzPxR5JGjyRp9EjCnU4hMHAQwQsvxqpWPY6BClE1yBgoUSzJZ+xJTg/P+dc8HJs3ou7evV/htctu2dq9C3Xv3sInjxrF7mtvAkDdtBHzuHqQkBCnyI+x3Fw8P08g4cvPcM2agWJZWG43ob79CAwcRKjPWeB2H/HmZV+NLcln7MVzDJQUUKJYks/Yk5zGQDiMumc3ltdLzZaNJJ/YY6U833xFwpef4lyzGgCjUWMy/lp6xGPNZF+NLcln7MkgciGEKA2Xy25pElHmcfXIv304+bfdiXPFMjxffm6PTysontwTvse5bi35g4dGZ0YXQhw5KaCEEKIyURQiJ7YncmL7Ind7338H1x+/Exh0FRZAJIKSl4uVmhaXMIUoKWX3btxTJuGZ9AtGw0bkPvVcvEMCpIASQogqwffBJ7jmzcGsVx8A94yppA65hmD/AQQHDiLU88yYTRAqsBfnDoWiZ44qOT5IPfLxaFWKZeFYsxr3b7/g+fVnnIsWRKcgCZ12epyDKySfFiGEqAKs1DRCffsV3hEKY9RvQMJ335Dw3TeYtWoTuPhSgpddQeSEdhViioe4siyUjAwc27agbtmCY+sWAlddg5WWjpKxl+qd2hHu2Rvfex8B4H17HLw8mrTOXQid0Z1wt+5E2p8sRes+oRCuP2fbRdNvv0aXNrJUlXCXroTO6k/o7P4YLVrGOdBC8pcTQogqKHTOuYT6D8C5eKE9JcL335D45uskvvk6Rv0G9hizhvVJTq1O8IKLCHfrDtjr91kuN2bDRpW/yLIsnEsWoW7dgmPLFhxb/0bdthVHwW0lL7fI08NdTiPSoRNWteoYzVtg7D/NR3o1aNEC96zpuGdNt+9LTiHc9XTC3boTOr07RtsTquRC0uqWv6nWsyuq3x4MbqakErjgYkJn9SN0Zl+s6uVzzN5hz8LTNK0u8DTQXtf1zgX3JQCjgH+AlsDzuq6vPdybyVl4FY/kM/Ykp7El+YyRUAj31Mn2zO0L56Pu2R2dmyvnuVEEhtpTRaQP6Itz0QL2/LMXVBXHmtUkP3BPdG4uq8jM8wXXa9Y69kviHI5loezahZLrj05C6v5pAt6P3if34ceItDsJLIsazeqj5vqLvNRMS8ds0BCjYSOMRo0Krjcm3PX0YufgqlUrhT2rNuL+83dcv8/CNXsmzo0bCrdbvTrhrmeQd9OtRLqcVja/dzngnvwriWPHkPPcKIwTTgTLIu2C/kTatSd0Vn/CXbqWePqN8n4WXjfgB+Ck/e67C9ii6/oLmqadCLwLnHFUUQohhIgft5tQ/wGE+g+wb5smtRxhMlZtsAugAsF+A4ic2C7aUqJu/xfX3D+LLJNzMGb16hiNm5A1aYb9ur8345nwA+HuPexiBXu9QisxKTatMKaJunOH3b22ze5iU7fud7ltK0owSLjzqWT9NNmOaddO3NOmEBh0lR2TopB3933gTcBo2BijQUPMhg2LLKtTWlatWgQvuJjgBRfb7/nvP7hmz8I9exau32fimfgDgYGDos9PfPZJjBYtCV52xdHlI17CYVxz/sCxbm20CFf8fpzz5+FatsQuoBSF7B9/jXOgpVeieaA0TesJjNJ1vVPB7d+Bh3Vd/73gtg9ooOu6r7jtSAtUxSP5jD3JaWxJPstOiXMbiaDu3ROd9FQpMgHqzuiEqFaCl6ypvwPgnvADaUOvwf/08+TfdCsAaRf0x/XXXMyatTBr1cbat4xP7TqYtWoVXq9dB6NefUhKAsDz3dcoubkErh5s3/72K1LuuAUlfPAFicyaNTEaNsJs0IjICSfaRRKA34+ChZWccpSZO7jD5tOyUDdvwqxdB5KSUDIzqNG6KeHTTif7+58BcM6fh+PvzYS7dcese1yZxHm0lMwM3FMn4/7tF9xTp6Dm+LCcTvau2WSf9ZmXh5KXh1Wz5lG/V3lvgTqY2sD+EfsK7iu2gKpWLRGns+yXU6hVq2x2/qpK8hl7ktPYknyWnRLn9rhq2CM6DrO9fVfO6QM//EBy27Yk73uPzh1BBceOHTg2b4QVyw69oXHj4GZ77URefBZ8PlLuvt2+3aYldOgATZrYP40bF15v1Ag1KYl9bVweICkaXNnvR4fNZ+39pp+omQzLl+POzS183defwvvv29dbt4ZevaB3b+jZE2JQkBwxXYcJE+yfP/4Aw7Dvb9IErhuMct551GxUp6ArN7Z5jtfn/0gLqF0UzUBqwX3FyszMO8K3Kzn5bzS2JJ+xJzmNLcln2SnT3DqS4LRe9vV97zHi6aLP8fvtpXv2raW4u/Ay0KgFkYLXuR9/BsvlJrxvO61PggmTD/6+eSbkxWd/OaJ81m5kXxa8zjH4JtyNmuOaPRPX3Dmob7wBb7wBQKTtiYS62Wf4hU/rWvZzfFkWSU8/jvvnCTg3rLfvUhQiHToROrs/wbP6YxzfpvBkg6wAEIhpCMegBeqQjx1pAfUTcBrwe8EYqKWH674TQgghSiU5GTM5GbNps2KfFjqr/zEKKP6MNm3Jb9OW/NvuhHAY55JF9vip2bNw/TWXxJXL4c3XsFSVnNfeInjJZfYLI5GjnjJByfHhnjwJo0lTIh06gaLg+msuju3bCZ5zHsGz+xPqczZWrVqH31glcNhsaprWA7gGOE7TtBHAaOBlYFTB7RbA0DKNUgghhBBFuVxEOp9KpPOpcPd9EAjgWvBXdFB6pM0J9vNMk+onHU+4W3dyxr1bqrdQN2/CbNwEFAXHurWk3jKU/Cuuxt+hEwC+196yx2xVlQW893PYAkrX9ZnAzIM8dFvswxFCCCHEEUlIsLvvunVn/wEzyu7dmMfVw/J6o/d5X30Z98xphM7oYU/q2e4ku4UqEsG14C/ck37B/dsvONetJWPWPIzWxxM5qQP+R58k1Oes6HbMRo2P4S9YvshEmkIIIUQlZtWpQ9bkmWCa0fuca9fgnjkd98yCST1TUomcdDLOFctQMzPt13m9BPudY3f/Aagq+XfcdczjL6+kgBJCCCGqgv3m18oZ+wb+EU8UmdTT/ftMjOPqkX/tRYTO7keoWw/Yr9VKFCUFlBBCCFEFWbVrE7zwEoIXXgKAkpVpTxJa2ZfoiREpoIQQQgiBlV4t3iFUKFVv1UIhhBBCiKMkBZQQQgghRClJASWEEEIIUUpSQAkhhBBClJIUUEIIIYQQpSQFlBBCCCFEKUkBJYQQQghRSlJACSGEEEKUkhRQQgghhBClJAWUEEIIIUQpSQElhBBCCFFKUkAJIYQQQpSSYllWvGMQQgghhKhQpAVKCCGEEKKUpIASQgghhCglKaCEEEIIIUpJCighhBBCiFKSAkoIIYQQopSkgBJCCCGEKCUpoIQQVZqmaXIcFEKUmhw4CmiapsQ7hspC07TWmqa54x1HZaJpWidN0+rGO47KQtO03pqmfQag67oZ73gqC03TmsQ7hspGvptiL1Y5dcZiIxWVpmk1gLeBl3Rdn61pmioH0yOnaVodoB9wCbBF07RfdV2fGOewKjRN05oCDwONgJsL7lN0XZcZcI9AwRf8Q0CdgtvtdF1fFtegKgFN044DzgL6apq2AVio6/qPckw9cpqmpQOvAROBz+IcTqUQ65xW9RaopkA14A2Q/0SPhqZpHYDnAB24EcgH6sc1qApO07TTsAv8ibqunw3kaZrmiHNYFZamaYOAX4A/gCuAKcDGuAZVCWia5gJuBf4G/gNsB57SNC1d13VTWlCOWH0gGRhW8M++OHoxzWmVK6A0TUssuHQBHl3XewE1NU27peB++YIqBU3Tkgqu7gZ26Lo+V9f1ndiFaaamabUKnicH0RLaL6fbsL/sV2uadgcwHBiLXaBKTktI07TkgqvzgTG6rn+o63o+0BroH7/IKrZ9x1KgBnAV8GfBZ/9PwA08Fq/YKjJN0xwFn20HcDXgAobGN6qKS9O06gWXKnavW8xyWmXWwtM0rS1wLlAL+FzX9QWapnl0XQ9qmnYJ8B5QS9f1UFwDrSD+Xz6/0HV9vqZpCbquBzRN6wFcDmwBBgI36Lq+OI7hVgiHyOkFQBdgFJAJXArcAQzRdX1d3IKtAA6Wz4L7FV3XLU3TzgN8uq7PjGecFc3/y+uXuq7/pWna14Cp6/plmqZp2J/7U4GbdF3fHsdwKwRN004GBgDP7usJ0TQtSdf1XE3T+gKvAufruq7HM86KRNO0E4A+wPHAd8Dvuq7nFjwWk5xWiRYoTdNaYledn2A32d+vadpVuq4HAXRd/wZYBTxV8Pzq8Yq1IjhEPq/WdT1Q8JQFuq7fquv68/B/7d1bjF1VHcfxb8eWWtEOllhusaMY/EsMBjQShaJR8YLwYLzGEHlAJRK0lmgtNJJi4iWmF20CjVbAeItJJUYwSC0GyyQUow1eGlN/sVhA5kHTFqwNppYZfFhrw+n0TJ2Zrn322ae/z0t79j4nWfPLOXPWrPVfazFKmiq1Y+iS6cqI+JCku4BvS9qXf7GOAjs5QT67s9UlzxURcSVAR/3YuaRRKI/mTdMUn/0PkEZFF0XEalJH4NfAA8C/m2prW+QFN1cD7wCuyteGcudpjqT7gD8C10TEcESc2WBzWyF/h19F6jhtJdXlLq/ul8r0RPklPAKcL+kJSRuBh4BLcq+/cjXpl+w3gYVNNLJFJue5HVgaEW/I988CiIgrgJcDDzfTzFaZnOmDwKURcYGkRyPi/Py8NwKLgH801dCWmM5n/ufAmRHxAhflT1u39+l7gUWSLgW+I2k9MAEsAA4119TWWAjsAH4AXBERiztqx6rv6BuA64H1pPIIO7YALpb0WB4g+QVwXh55qhx3pidKB2oPcCAiLsqPtwDPAmfAczUnryTVl3xN0qNNNLJFpsrztPz4UxFxO/Ai4JPOc1q6ZTpBfo8C10XEbcAwcK2kpxpoY5sc8zOfnQ08KGm8141rsW65/pf0hQXwlojYRBrd2yDpcANtbBVJeyV9D/gN8C/gmnz9WUnjETEXOAdYB9wo6c/NtbY1/kBadHN5fvxb0gKn10TEnFKZDlQHKiIWT3pcFYQfBsaAyyJirqRdpCKyV+X7h4AHJC3PRZDGrPJ8db6/ibQ1xGZJT/aswS0wi0yrL6avA2sk/dCZPu84PvMAWyRt7U1L22UWuZ6T7/+O1HG6Q9KBnjW4BbpkOhRHbuK6G9gGXBARZ1cXJT0DbJO0QtI/e9LYluqYih8iTSN/NCLmSRojfc+/MHdMi2Q6EEXkeZXN+4ClwCOkvyq3T3rOlcDbgF2S1kXE54G/Sfppzxvc55xnec60LOdZD+da3v/LNCLmA0OS/pNXLa8GLgS+C3zL08tHi4gFwBrgXkn35Gn48Y7784CLSCvtnpC0KiKWAeOSbi3VjkEZgfowabrjZtIw/YqIqIpDb4iIdaS/jG4BXh8Ra4B9pAIzO5rzLM+ZluU86+FcyztWpl8gTSNVU8unAicDdwKb3Hma0nmk+tr1AHmqcwggIj5L2ttxL3ATcFpEbAD25+vFtHYEKq9SmMhDy1uAz0n6U0ScRSoMW0ja1O2rwLqqDicihkm90IMNNb0vOc/ynGlZzrMezrW848h0MXDY0/RH68h0DvBO0uKku4F7JH0lP2eYdHLDRkmP5WtzgZMkPV26Ta3rQOU32GdI85mjkkbzX0Ujkj6Yw70YWAaskrQ7v85HCnThPMtzpmU5z3o41/KcaXmTMt2mdOzaSyU9GRHvBr4PvFbS3kmvqz3T1kzh5cr5j5GODLgPOAD8LN++DRiJiMvykOcYafjuYH6t35yTOM/ynGlZzrMezrU8Z1reFJneBVCN0En6JanwvhqBenH12l5k2qbDhE8h7S90h6THgdGIuCQPif6FVHC3PiLuB04n/WwT4DPupuA8y3OmZTnPejjX8pxped0yXRoRS/Ljyo3A7kgbkn4ZONir2rG+7kDlQrv3kw79fBi4n9RzJyJGSNX1Y7kHvzHSCoZVpEK91V7yeSTnWZ4zLct51sO5ludMy5tGpmOSHu+oh5oPvI60dc43JD3Sy/b2XQ1UPH9O1bWkQrs9pCWz8yR9ouN5bweWkHZvvVzS3fn6XKU9HgznWQdnWpbzrIdzLc+ZljfLTN8D3AvMAYYl7e99y/usBioX2C3ID08hbXS3Gfgi8JGIeFfH008mBX09aWj0FfDcpmOG86yDMy3LedbDuZbnTMs7jkw3AEskjTfVeYI+6kBFxJtJezqsjXTa91tJ5y4haR9pD421HS+5DrgVeAnwJvm4kCM4z/KcaVnOsx7OtTxnWt4gZNr4FF6umr8Z+CuwmbRi4ffAU8CnJVUbjs0nbda2krQh1jLgJ5J2NNDsvuU8y3OmZTnPejjX8pxpeYOUaT+MQFXLOn+VlyZ+CbhQ0i3AMxGxPD/vVECSdkoak7Syn4LsI86zPGdalvOsh3Mtz5mWNzCZ9kMH6mngzknV8w/lf28Czo10XMDHgR1wxIGBdjTnWZ4zLct51sO5ludMyxuYTBvfxkBpv4a/d1waAXbl/59E2ur+ZcCePC9avca6cJ7lOdOynGc9nGt5zrS8Qcq08Q5UF2cA+yPix6St27cqn2ljs+I8y3OmZTnPejjX8pxpea3NtPEi8k4RcTqwHdgJbJb0o4ab1GrOszxnWpbzrIdzLc+Zltf2TPttBGoCuB1YK+lQ040ZAM6zPGdalvOsh3Mtz5mW1+pM+2oEyszMzKwN+mEVnpmZmVmruANlZmZmNkPuQJmZmZnNkDtQZmZmZjPkDpSZmZnZDLkDZWZmZjZD7kCZmZmZzZA7UGZmZmYz9D8ONXhzHbrb1QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "p1 = plt.plot(gbm.time_grid, paths_1[:, :10], 'b')\n",
    "p2 = plt.plot(gbm.time_grid, paths_2[:, :10], 'r-.')\n",
    "l1 = plt.legend([p1[0], p2[0]],\n",
    "                ['low volatility', 'high volatility'], loc=2)\n",
    "plt.gca().add_artist(l1)\n",
    "plt.xticks(rotation=30);\n",
    "# plt.savefig('../../images/ch18/dx_sim_01.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jump Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "uuid": "32912563-dcc1-4399-b5ed-1603c83f19f6"
   },
   "outputs": [],
   "source": [
    "me_jd = market_environment('me_jd', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "uuid": "66dda0df-b62e-4596-803f-3f74d0b83320"
   },
   "outputs": [],
   "source": [
    "# specific to simulation class\n",
    "me_jd.add_constant('lambda', 0.3)  \n",
    "me_jd.add_constant('mu', -0.75)  \n",
    "me_jd.add_constant('delta', 0.1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "uuid": "c1e390cc-dd6b-4186-a7be-012f8187ebe4"
   },
   "outputs": [],
   "source": [
    "me_jd.add_environment(me_gbm)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "uuid": "31aeb150-6007-4eaa-b70b-8a798f044f0c"
   },
   "outputs": [],
   "source": [
    "from jump_diffusion import jump_diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "uuid": "e9c72a6e-3433-442e-9db3-02abf8efaff2"
   },
   "outputs": [],
   "source": [
    "jd = jump_diffusion('jd', me_jd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "uuid": "18fd9ba5-e1c6-4e90-ac6a-fa3727acc524"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 35.1 ms, sys: 3.59 ms, total: 38.7 ms\n",
      "Wall time: 13.4 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_3 = jd.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "uuid": "38806874-53b2-4e91-9bd5-5764654446b8"
   },
   "outputs": [],
   "source": [
    "jd.update(lamb=0.9)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "uuid": "a2bd3f5d-44cb-458d-ae7d-9238d7a6b93b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 43.1 ms, sys: 2.46 ms, total: 45.6 ms\n",
      "Wall time: 14 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_4 = jd.get_instrument_values()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "uuid": "5b744e93-dac1-4868-8499-6a8f70bcfc42"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "p1 = plt.plot(gbm.time_grid, paths_3[:, :10], 'b')\n",
    "p2 = plt.plot(gbm.time_grid, paths_4[:, :10], 'r-.')\n",
    "l1 = plt.legend([p1[0], p2[0]],\n",
    "                ['low intensity', 'high intensity'], loc=3)\n",
    "plt.gca().add_artist(l1)\n",
    "plt.xticks(rotation=30);\n",
    "# plt.savefig('../../images/ch18/dx_sim_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Square-Root Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "uuid": "5cee70a6-b34b-47dd-a0ca-e4a239209f9a"
   },
   "outputs": [],
   "source": [
    "me_srd = market_environment('me_srd', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "uuid": "cce8be97-72ab-44b8-8080-74caa746f4fe"
   },
   "outputs": [],
   "source": [
    "me_srd.add_constant('initial_value', .25)\n",
    "me_srd.add_constant('volatility', 0.05)\n",
    "me_srd.add_constant('final_date', dt.datetime(2020, 12, 31))\n",
    "me_srd.add_constant('currency', 'EUR')\n",
    "me_srd.add_constant('frequency', 'W')\n",
    "me_srd.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "uuid": "51da0da3-f606-4872-a44e-356ab708c1b7"
   },
   "outputs": [],
   "source": [
    "# specific to simualation class\n",
    "me_srd.add_constant('kappa', 4.0)\n",
    "me_srd.add_constant('theta', 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "uuid": "d88f4994-9f99-4b84-ae61-64b9ef193bfb"
   },
   "outputs": [],
   "source": [
    "me_srd.add_curve('discount_curve', constant_short_rate('r', 0.0))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "uuid": "9614dce2-b786-447f-b750-4ef4d78e1cd9"
   },
   "outputs": [],
   "source": [
    "from square_root_diffusion import square_root_diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "uuid": "2ab8a1b3-0ca9-41cc-977b-a935a6f0bec8"
   },
   "outputs": [],
   "source": [
    "srd = square_root_diffusion('srd', me_srd)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "uuid": "0ae9685b-e73c-45f5-996f-58c21843234a"
   },
   "outputs": [],
   "source": [
    "srd_paths = srd.get_instrument_values()[:, :10]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "uuid": "c25fa7d4-688a-4275-9224-0bc20a8b54c0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(srd.time_grid, srd.get_instrument_values()[:, :10])\n",
    "plt.axhline(me_srd.get_constant('theta'), color='r',\n",
    "            ls='--', lw=2.0)\n",
    "plt.xticks(rotation=30);\n",
    "# plt.savefig('../../images/ch18/dx_sim_03.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Valuation Classes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### European Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "uuid": "9f6df028-fd97-4dc9-9960-d5202b94feb1"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "uuid": "527be3e7-3e98-4fe5-b41e-23af730c0921"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2020, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')\n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "uuid": "fc61c07b-7bb2-45ac-a10d-617a24747953"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "uuid": "6acd3ae9-5986-4cec-9f66-407ddd79202e"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "uuid": "dc0c43ae-c6f0-434e-ad6e-c3fbe91b1175"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "uuid": "17f4b627-7fb8-43f6-bb15-26a6a4d60b0b"
   },
   "outputs": [],
   "source": [
    "me_call = market_environment('me_call', me_gbm.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "uuid": "838f54a8-e11c-4ab5-85ce-8393d89f957f"
   },
   "outputs": [],
   "source": [
    "me_call.add_constant('strike', 40.)\n",
    "me_call.add_constant('maturity', dt.datetime(2020, 12, 31))\n",
    "me_call.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "uuid": "4bfb5550-ab6b-4b56-9604-3fad05c5f334"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(maturity_value - strike, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "uuid": "5a331672-9004-43b0-9ba6-61622d4e1b65"
   },
   "outputs": [],
   "source": [
    "from valuation_mcs_european import valuation_mcs_european"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "uuid": "0ba08733-7d34-488e-b460-e5abc223a85a"
   },
   "outputs": [],
   "source": [
    "eur_call = valuation_mcs_european('eur_call', underlying=gbm,\n",
    "                        mar_env=me_call, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "uuid": "1869f59a-2c88-4bb4-bde6-b662edbd5f62"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 10.8 ms, sys: 2.25 ms, total: 13 ms\n",
      "Wall time: 7.82 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2.146828"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.present_value()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "uuid": "62330fe7-0fbe-4a24-886e-a9c64b61122c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 20.7 ms, sys: 1.17 ms, total: 21.8 ms\n",
      "Wall time: 5.3 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.5155"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.delta()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "uuid": "999b5d90-57b9-46da-b7cc-981841df58b8"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 40.5 ms, sys: 1.23 ms, total: 41.7 ms\n",
      "Wall time: 9.92 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "14.301"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.vega()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "uuid": "bf5e7430-eea7-47ae-b1a6-e335c144929b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 717 ms, sys: 4.02 ms, total: 721 ms\n",
      "Wall time: 181 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "s_list = np.arange(34., 46.1, 2.)\n",
    "p_list = []; d_list = []; v_list = []\n",
    "for s in s_list:\n",
    "    eur_call.update(initial_value=s)\n",
    "    p_list.append(eur_call.present_value(fixed_seed=True))\n",
    "    d_list.append(eur_call.delta())\n",
    "    v_list.append(eur_call.vega())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "uuid": "70b7e095-a138-47bb-90b5-2a658d74b87c"
   },
   "outputs": [],
   "source": [
    "from plot_option_stats import plot_option_stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "uuid": "2590618e-3bfd-4416-82b6-eef269a28f38"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_option_stats(s_list, p_list, d_list, v_list)\n",
    "# plt.savefig('../../images/ch19/dx_val_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "uuid": "2d5ca812-5448-47fe-9fd3-af2ab7eca13e"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(0.33 * (maturity_value + max_value) - 40, 0)'  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "uuid": "62c9340d-a2a3-477e-b640-389d81c3b8a1"
   },
   "outputs": [],
   "source": [
    "eur_as_call = valuation_mcs_european('eur_as_call', underlying=gbm,\n",
    "                            mar_env=me_call, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "uuid": "50f5cf9a-d2c7-4e69-9361-e3bf8678c4a3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 493 ms, sys: 2.44 ms, total: 495 ms\n",
      "Wall time: 129 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "s_list = np.arange(34., 46.1, 2.)\n",
    "p_list = []; d_list = []; v_list = []\n",
    "for s in s_list:\n",
    "    eur_as_call.update(s)\n",
    "    p_list.append(eur_as_call.present_value(fixed_seed=True))\n",
    "    d_list.append(eur_as_call.delta())\n",
    "    v_list.append(eur_as_call.vega())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "uuid": "a4602156-ade5-49fe-97c8-3088dc47944c"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_option_stats(s_list, p_list, d_list, v_list)\n",
    "# plt.savefig('../../images/ch19/dx_val_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### American Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "uuid": "81d66ea7-15df-429a-9f87-fc2f2c881726"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "uuid": "f822430b-6875-4b81-9c15-4684eea1225c"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2021, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'W')\n",
    "me_gbm.add_constant('paths', 50000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "uuid": "ed806c52-2dc7-4dec-a8dc-8e0d99e18a3c"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "uuid": "78738a9b-8f75-4710-b31d-415cdade6bb8"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "uuid": "4b0692ba-91f6-4d19-adfd-d4b31590542b"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "uuid": "ab695214-a424-4ead-9c96-ef75a8f52ed0"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(strike - instrument_values, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "uuid": "558b7076-4cc6-4e45-9e04-395eb3ba8aac"
   },
   "outputs": [],
   "source": [
    "me_am_put = market_environment('me_am_put', dt.datetime(2020, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "uuid": "783eb5ab-6dd6-4561-9614-aedb4247d6ab"
   },
   "outputs": [],
   "source": [
    "me_am_put.add_constant('maturity', dt.datetime(2020, 12, 31))\n",
    "me_am_put.add_constant('strike', 40.)\n",
    "me_am_put.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "uuid": "dd6bc5f2-ed01-4877-a7da-dee5d9bd9c45"
   },
   "outputs": [],
   "source": [
    "from valuation_mcs_american import valuation_mcs_american"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "uuid": "a43bc735-e35e-4621-9185-5d9d415b0efd"
   },
   "outputs": [],
   "source": [
    "am_put = valuation_mcs_american('am_put', underlying=gbm,\n",
    "                    mar_env=me_am_put, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "uuid": "eeb5de5d-f95b-4acd-bbab-2eae998d8f46"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.84 s, sys: 103 ms, total: 1.95 s\n",
      "Wall time: 588 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "4.472834"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time am_put.present_value(fixed_seed=True, bf=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "uuid": "671c9254-1fa5-432c-accb-4d0610abd910"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 57.3 s, sys: 515 ms, total: 57.8 s\n",
      "Wall time: 14.5 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "ls_table = []\n",
    "for initial_value in (36., 38., 40., 42., 44.): \n",
    "    for volatility in (0.2, 0.4):\n",
    "        for maturity in (dt.datetime(2020, 12, 31),\n",
    "                         dt.datetime(2021, 12, 31)):\n",
    "            am_put.update(initial_value=initial_value,\n",
    "                          volatility=volatility,\n",
    "                          maturity=maturity)\n",
    "            ls_table.append([initial_value,\n",
    "                             volatility,\n",
    "                             maturity,\n",
    "                             am_put.present_value(bf=5)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "uuid": "125e9a02-1db7-4fdd-bdd8-6f0f522281d3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S0  | Vola | T | Value\n",
      "----------------------\n",
      "36  | 0.2  | 1 | 4.447\n",
      "36  | 0.2  | 2 | 4.773\n",
      "36  | 0.4  | 1 | 7.006\n",
      "36  | 0.4  | 2 | 8.377\n",
      "38  | 0.2  | 1 | 3.213\n",
      "38  | 0.2  | 2 | 3.645\n",
      "38  | 0.4  | 1 | 6.069\n",
      "38  | 0.4  | 2 | 7.539\n",
      "40  | 0.2  | 1 | 2.269\n",
      "40  | 0.2  | 2 | 2.781\n",
      "40  | 0.4  | 1 | 5.211\n",
      "40  | 0.4  | 2 | 6.756\n",
      "42  | 0.2  | 1 | 1.556\n",
      "42  | 0.2  | 2 | 2.102\n",
      "42  | 0.4  | 1 | 4.466\n",
      "42  | 0.4  | 2 | 6.049\n",
      "44  | 0.2  | 1 | 1.059\n",
      "44  | 0.2  | 2 | 1.617\n",
      "44  | 0.4  | 1 | 3.852\n",
      "44  | 0.4  | 2 | 5.490\n"
     ]
    }
   ],
   "source": [
    "print('S0  | Vola | T | Value')\n",
    "print(22 * '-')\n",
    "for r in ls_table:\n",
    "    print('%d  | %3.1f  | %d | %5.3f' % \n",
    "          (r[0], r[1], r[2].year - 2019, r[3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "uuid": "481d5438-d32b-40a2-aa8c-687b19138e29"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.4631"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "am_put.update(initial_value=36.)\n",
    "am_put.delta()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "uuid": "84cf9547-c8b3-4205-81e5-8949ae798394"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18.0961"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "am_put.vega()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Portfolios"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "uuid": "e826f896-6999-4007-b0b2-c46750e0afc4"
   },
   "outputs": [],
   "source": [
    "from dx_valuation import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "uuid": "636c1eae-142b-447f-a137-d36d81e4626b"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2020, 1, 1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "uuid": "6e3324f6-21ee-46f4-b330-205ab3766f1f"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)  \n",
    "me_gbm.add_constant('volatility', 0.2)  \n",
    "me_gbm.add_constant('currency', 'EUR')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "uuid": "4133fd96-79aa-4df7-8dbb-328561e2267c"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('model', 'gbm')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "uuid": "552c207a-7c7d-4809-a5ee-64c11d7604a3"
   },
   "outputs": [],
   "source": [
    "from derivatives_position import derivatives_position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "uuid": "d2cd3a35-f2a9-470c-a705-299172dd8887"
   },
   "outputs": [],
   "source": [
    "me_am_put = market_environment('me_am_put', dt.datetime(2020, 1, 1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "uuid": "f3bd69f3-c361-44ce-9cad-3584366b459f"
   },
   "outputs": [],
   "source": [
    "me_am_put.add_constant('maturity', dt.datetime(2020, 12, 31))  \n",
    "me_am_put.add_constant('strike', 40.)  \n",
    "me_am_put.add_constant('currency', 'EUR')   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "uuid": "70aa8500-9a8a-4d54-951e-ac820eaff24d"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(strike - instrument_values, 0)'  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "uuid": "ce2244bd-c4c0-4386-a518-06c3373a96b1"
   },
   "outputs": [],
   "source": [
    "am_put_pos = derivatives_position(\n",
    "             name='am_put_pos',\n",
    "             quantity=3,\n",
    "             underlying='gbm',\n",
    "             mar_env=me_am_put,\n",
    "             otype='American',\n",
    "             payoff_func=payoff_func)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "uuid": "9bb959eb-6ce0-48eb-9f1f-bf64eee505fe"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NAME\n",
      "am_put_pos \n",
      "\n",
      "QUANTITY\n",
      "3 \n",
      "\n",
      "UNDERLYING\n",
      "gbm \n",
      "\n",
      "MARKET ENVIRONMENT\n",
      "\n",
      "**Constants**\n",
      "maturity 2020-12-31 00:00:00\n",
      "strike 40.0\n",
      "currency EUR\n",
      "\n",
      "**Lists**\n",
      "\n",
      "**Curves**\n",
      "\n",
      "OPTION TYPE\n",
      "American \n",
      "\n",
      "PAYOFF FUNCTION\n",
      "np.maximum(strike - instrument_values, 0)\n"
     ]
    }
   ],
   "source": [
    "am_put_pos.get_info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "uuid": "a7f7a55f-cf66-457a-ba2f-9c9f15697d98"
   },
   "outputs": [],
   "source": [
    "me_jd = market_environment('me_jd', me_gbm.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "uuid": "4c2da9df-820c-49bb-9da0-fa212aa8ac40"
   },
   "outputs": [],
   "source": [
    "# add jump diffusion specific parameters\n",
    "me_jd.add_constant('lambda', 0.3)\n",
    "me_jd.add_constant('mu', -0.75)\n",
    "me_jd.add_constant('delta', 0.1)\n",
    "# add other parameters from gbm\n",
    "me_jd.add_environment(me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "uuid": "6f93e1aa-7ccb-4434-b79e-2357bb056fc9"
   },
   "outputs": [],
   "source": [
    "# needed for portfolio valuation\n",
    "me_jd.add_constant('model', 'jd')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "uuid": "178e550a-e040-4ac8-9ad8-e3bbf4fdc50d"
   },
   "outputs": [],
   "source": [
    "me_eur_call = market_environment('me_eur_call', me_jd.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "uuid": "08c13651-9fbf-44bf-b9a9-e94409a6e891"
   },
   "outputs": [],
   "source": [
    "me_eur_call.add_constant('maturity', dt.datetime(2020, 6, 30))\n",
    "me_eur_call.add_constant('strike', 38.)\n",
    "me_eur_call.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "uuid": "c62a77e4-a502-4ceb-a5a3-9b3ec2be7d72"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(maturity_value - strike, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "uuid": "f1cb96fa-385a-41d6-b68d-1f80c9590370"
   },
   "outputs": [],
   "source": [
    "eur_call_pos = derivatives_position(\n",
    "             name='eur_call_pos',\n",
    "             quantity=5,\n",
    "             underlying='jd',\n",
    "             mar_env=me_eur_call,\n",
    "             otype='European',\n",
    "             payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "uuid": "e8df55ac-a860-4dd6-88f2-c4aa15e323f9"
   },
   "outputs": [],
   "source": [
    "underlyings = {'gbm': me_gbm, 'jd' : me_jd}  \n",
    "positions = {'am_put_pos' : am_put_pos,\n",
    "             'eur_call_pos' : eur_call_pos}  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "uuid": "38a7b06d-9923-4729-bbaf-184b55930d69"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "uuid": "d8ecc803-4ea8-45b4-975f-88e716a171e6"
   },
   "outputs": [],
   "source": [
    "val_env = market_environment('general', me_gbm.pricing_date)\n",
    "val_env.add_constant('frequency', 'W')\n",
    "val_env.add_constant('paths', 25000)\n",
    "val_env.add_constant('starting_date', val_env.pricing_date)\n",
    "val_env.add_constant('final_date', val_env.pricing_date)  \n",
    "val_env.add_curve('discount_curve', csr)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "uuid": "1f533a99-c881-4628-befe-ce63bbfdaafd"
   },
   "outputs": [],
   "source": [
    "from derivatives_portfolio import derivatives_portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "uuid": "7a231d26-ec5f-4b0f-8c2e-d5ee4b93f0c4"
   },
   "outputs": [],
   "source": [
    "portfolio = derivatives_portfolio(\n",
    "                name='portfolio',\n",
    "                positions=positions,\n",
    "                val_env=val_env,\n",
    "                assets=underlyings,\n",
    "                fixed_seed=False)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "uuid": "ec163641-6908-4fc8-bb75-95483021f1b4"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7.79 s, sys: 128 ms, total: 7.92 s\n",
      "Wall time: 2.03 s\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>quant.</th>\n",
       "      <th>value</th>\n",
       "      <th>curr.</th>\n",
       "      <th>pos_value</th>\n",
       "      <th>pos_delta</th>\n",
       "      <th>pos_vega</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>am_put_pos</td>\n",
       "      <td>3</td>\n",
       "      <td>4.458891</td>\n",
       "      <td>EUR</td>\n",
       "      <td>13.376673</td>\n",
       "      <td>-2.0430</td>\n",
       "      <td>31.7850</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>eur_call_pos</td>\n",
       "      <td>5</td>\n",
       "      <td>2.828634</td>\n",
       "      <td>EUR</td>\n",
       "      <td>14.143170</td>\n",
       "      <td>3.2525</td>\n",
       "      <td>42.2655</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           name  quant.     value curr.  pos_value  pos_delta  pos_vega\n",
       "0    am_put_pos       3  4.458891   EUR  13.376673    -2.0430   31.7850\n",
       "1  eur_call_pos       5  2.828634   EUR  14.143170     3.2525   42.2655"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time portfolio.get_statistics(fixed_seed=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {
    "uuid": "97aebfec-ec91-4d6b-af5f-ff36c5300122"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pos_value    27.502731\n",
       "pos_delta     1.233500\n",
       "pos_vega     74.050500\n",
       "dtype: float64"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.get_statistics(fixed_seed=False)[\n",
    "    ['pos_value', 'pos_delta', 'pos_vega']].sum()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {
    "scrolled": false,
    "uuid": "2448b331-3d97-4358-a07b-453dc15659f8"
   },
   "outputs": [],
   "source": [
    "# portfolio.get_positions()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "uuid": "aa0c765f-2e15-4e74-a46e-ed8e7c43e825"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.453187"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.valuation_objects['am_put_pos'].present_value()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "uuid": "ea398cfa-fb40-4ed8-b9bf-c067d135fe11"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6514"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.valuation_objects['eur_call_pos'].delta()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "uuid": "f8a828ff-4fc9-40b4-8dee-f3b27035978b"
   },
   "outputs": [],
   "source": [
    "path_no = 888\n",
    "path_gbm = portfolio.underlying_objects[\n",
    "    'gbm'].get_instrument_values()[:, path_no]\n",
    "path_jd = portfolio.underlying_objects[\n",
    "    'jd'].get_instrument_values()[:, path_no]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "uuid": "9cd814c6-2762-489a-b926-883a078f0142"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1215da1d0>"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n",
    "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n",
    "plt.xticks(rotation=30)\n",
    "plt.legend(loc=0)\n",
    "# plt.savefig('../../images/ch20/dx_port_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {
    "uuid": "873e0a44-470b-4fc6-ab12-956de039b21e"
   },
   "outputs": [],
   "source": [
    "correlations = [['gbm', 'jd', 0.9]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "uuid": "3f517f85-6cd4-431f-9a86-51956d712576"
   },
   "outputs": [],
   "source": [
    "port_corr = derivatives_portfolio(\n",
    "                name='portfolio',\n",
    "                positions=positions,\n",
    "                val_env=val_env,\n",
    "                assets=underlyings,\n",
    "                correlations=correlations,\n",
    "                fixed_seed=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {
    "uuid": "be0fe6c4-3f67-4091-aabb-110043f3b2b2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>quant.</th>\n",
       "      <th>value</th>\n",
       "      <th>curr.</th>\n",
       "      <th>pos_value</th>\n",
       "      <th>pos_delta</th>\n",
       "      <th>pos_vega</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>am_put_pos</td>\n",
       "      <td>3</td>\n",
       "      <td>4.458556</td>\n",
       "      <td>EUR</td>\n",
       "      <td>13.375668</td>\n",
       "      <td>-2.0376</td>\n",
       "      <td>30.8676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>eur_call_pos</td>\n",
       "      <td>5</td>\n",
       "      <td>2.817813</td>\n",
       "      <td>EUR</td>\n",
       "      <td>14.089065</td>\n",
       "      <td>3.3375</td>\n",
       "      <td>42.2340</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           name  quant.     value curr.  pos_value  pos_delta  pos_vega\n",
       "0    am_put_pos       3  4.458556   EUR  13.375668    -2.0376   30.8676\n",
       "1  eur_call_pos       5  2.817813   EUR  14.089065     3.3375   42.2340"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_corr.get_statistics()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {
    "uuid": "c3f911fc-b3f5-4fd2-bf53-d45cbb78e67b"
   },
   "outputs": [],
   "source": [
    "path_gbm = port_corr.underlying_objects['gbm'].\\\n",
    "            get_instrument_values()[:, path_no]\n",
    "path_jd = port_corr.underlying_objects['jd'].\\\n",
    "            get_instrument_values()[:, path_no]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {
    "uuid": "e2b1e218-8908-42e9-a9c7-8dc0c58a95c1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n",
    "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n",
    "plt.xticks(rotation=30)\n",
    "plt.legend(loc=0);\n",
    "# plt.savefig('../../images/ch20/dx_port_02.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        , 39.71423714, 24.90720272, ...,  0.        ,\n",
       "        6.42619093,  8.15838265])"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv1 = 5 * port_corr.valuation_objects['eur_call_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([21.31806027, 10.71952869, 19.89804376, ..., 21.39292703,\n",
       "       17.59920608,  0.        ])"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv2 = 3 * port_corr.valuation_objects['am_put_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist([pv1, pv2], bins=25,\n",
    "         label=['European call', 'American put']);\n",
    "plt.axvline(pv1.mean(), color='r', ls='dashed',\n",
    "            lw=1.5, label='call mean = %4.2f' % pv1.mean())\n",
    "plt.axvline(pv2.mean(), color='r', ls='dotted',\n",
    "            lw=1.5, label='put mean = %4.2f' % pv2.mean())\n",
    "plt.xlim(0, 80); plt.ylim(0, 10000)\n",
    "plt.legend();\n",
    "# plt.savefig('../../images/ch20/dx_port_03.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XKSVJkjIyjEklNeC4Yxlw3LG5y5AkdTKXKaWS6vbKy7lLkCTVgDNjkiRJGRnGJEmSMjKMSZIkZeSeMamkXv/g3rlLkCTVgGFMKqmFI8/IXYIkqQZcppQkScrIMCaV1MBjjmLgMUflLkOS1MlcppTKavHi3BVIkmrAmTFJkqSMDGOSJEkZGcYkSZIycs+YVFJLP/zR3CVIkmrAMCaV1KITTspdgiSpBlymlCRJysgwJpXUwCMOZuARB+cuQ5LUyQxjkiRJGRnGJEmSMjKMSZIkZWQYkyRJyshLW0glteRjR+YuQZJUA4YxqaQWH//53CVIkmrAZUqprBYurPwnSerSnBmTSmrgJz8OwNwbbs1ciSSpMzkzJkmSlJFhTJIkKSPDmCRJUkaGMUmSpIzcwC+V1OJjPpW7BElSDRjGpJJaYhiTpLrQrjAWEX8GFhc3l6eU9o+ITYCxwJPAMOCslNILxfGnAwOAQcAdKaUbi/F3AycAM4HBwKiU0rIOfD5Sl9FtzhwAmjbdNHMlkqTO1N6ZsdtTSqNXGxsD/CGl9MuIOAwYDwyPiPcD+6aUDo6IXsDfIuJuYC5wHXBASun5iJgAfAa4qkOeidTFDBgxHPA6Y5LU1bV3A/9OEXFGRIyOiEOKsUOAycXX9xW3AQ5tHk8pvQ78HfgQsA3QJ6X0fJVzJEmS6lJ7Z8bGpZSmREQP4O6ImE9lmXF+cf88YFBE9CzG/97i3HnF2OwWx7cclyRJqlvtCmMppSnFn8sj4h5gX+BFoAF4lcr+sFdSSssionm82YDi2DWNt6mxsaHtg+qQfWndgy7Vk149gI55Tl2qLx3IvlRnX1qzJ9XZl47RZhiLiO2BPVNKzXu7hgG/AW4B9gCeAfYsbgPcDJxbnNsT2AFo3jO2KCI2K5YqW57zhmbPnt/2QXWmsbHBvrDqa6Or9WTg68sBmLuez6mr9aWj2Jfq7Etr9qQ6+1LdugTU9syMzQMOjYgtqMxmPQP8DLgNGBcR2wFDgVEAKaX7I2JSRIyh8m7K01JKrwJExLHABRHxFNAD+NFaVyzVicWfHZG7BElSDbQZxlJKzwFHVrnrZeDzazjnwjWMPwz4L4zUDkuOODp3CZKkGvDjkKSS6j7rWbrPejZ3GZKkTuYV+KWSajjhC4DXGZOkrs6ZMUmSpIwMY5IkSRkZxiRJkjIyjEmSJGXkBn6ppBZ9+cTcJUiSasAwJpXU0o8clLsESVINuEwplVSP6dPoMX1a7jIkSZ3MmTGppPqPOhnwOmOS1NU5MyZJkpSRYUySJCkjw5gkSVJGhjFJkqSM3MAvldTCU0/PXYIkqQYMY1JJvb73vrlLkCTVgMuUUkn1eOxRejz2aO4yJEmdzJkxqaT6n3Mm4HXGJKmrc2ZMkiQpI8OYJElSRoYxSZKkjAxjkiRJGbmBXyqpBWedm7sESVINGMa0QTt+7B877LGuPnO/DnusjrBst/fnLkGSVAMuU0ol1XPK/fSccn/uMiRJncyZMamk+o35JuB1xiSpq3NmTJIkKSPDmCRJUkaGMUmSpIwMY5IkSRm5gV8qqdf+e2zuEiRJNWAYk0pq+U7vyl2CJKkGXKaUSqrXXZPoddek3GVIkjqZM2NSSfW9+EIA5u69b+ZKJEmdyZkxSZKkjAxjkiRJGRnGJEmSMjKMSZIkZeQGfqmkXhv/ndwlSJJqoN1hLCL6APcDd6SURkVEb2A8MAsYBoxNKf2jOPZY4D3AcmBGSumKYnxr4BxgOrA1MDKl9FqHPRupC1m+7bDcJUiSamBtlinPB/7a4vYpwNMppW8BFwNXAUTEEGAUMCql9FXgcxHR/K/KD4ArinMeB85Yz/qlLutNE2/jTRNvy12GJKmTtSuMRcRw4D5gZovhQ4DJACmlx4CdI2IA8BHgLymlpuK4ycBBEdEL2Bd4oBi/r3gMSVX0+f536fP97+YuQ5LUydpcpoyIHYB3pJTOioiWn88yGJjf4va8YmxN428GFrUIac3jbWpsbGjPYXXHvnSs0vWzVw+gY+oq3XMrCftSnX1pzZ5UZ186Rnv2jB0JLI6IM4G9gDdFxCnAi0DLv4UBxdiLwLarjU8HXgL6RES3IpA1H9+m2bPnt31QnWlsbLAvHaxs/Rz4+nIA5q5nXb5WqrMv1dmX1uxJdfalunUJqG0uU6aULkgpnZdSGgvcC0xJKV0C3ALsARAROwGPpJTmAROB90VEt+Ih9gBuSym9DkwCdi3G9yweQ5IkqW6tzbspjwY+RGVm7BPAd4DxEXE2lZmwEQAppWcjYjxwcUQsB65MKU0rHuZLwDci4kBgK+C0jnsqkiRJG552h7GU0q+BX682fMIajr0OuK7K+D+B49eiPqluzb/sf3KXIEmqAS/6KpXUii2H5C5BklQDfhySVFIb3fBrNrph9cloSVJX48yYVFK9r7kKgCVHHJ25EklSZ3JmTJIkKSPDmCRJUkaGMUmSpIwMY5IkSRm5gV8qqXlX/Th3CZKkGjCMSSXVtOmmuUuQJNWAy5RSSW3085+w0c9/krsMSVInc2ZMKqneRRBbcsynMlciSepMzoxJkiRlZBiTJEnKyDAmSZKUkWFMkiQpIzfwSyU196fX5y5BklQDhjGprPr2zV2BJKkGXKaUSqr31T+k99U/zF2GJKmTGcakktroxt+y0Y2/zV2GJKmTGcYkSZIyMoxJkiRlZBiTJEnKyDAmSZKUkZe2kEpq7g235i5BklQDzoxJkiRlZBiTSqrPZZfS57JLc5chSepkhjGppN70+9t50+9vz12GJKmTGcYkSZIyMoxJkiRlZBiTJEnKyEtbSGXVu3fuCiRJNWAYk0pq7s9/k7sESVINuEwpSZKUkWFMKqm+E8bRd8K43GVIkjqZYUwqqV733EWve+7KXYYkqZMZxiRJkjIyjEmSJGVkGJMkScrIS1tIJdU0aJPcJUiSaqDNMBYR3YGbgPuBNwFDgeOBPsBY4ElgGHBWSumF4pzTgQHAIOCOlNKNxfi7gROAmcBgYFRKaVkHPyepS5j3v9flLkGSVAPtXaacnFI6L6V0NtAXOAoYA/whpTQWuAEYDxAR7wf2TSmdA5wKTIiIjSOiG3AdcE5KaQywHPhMxz4dSZKkDUubYSyltCKldD5ARPQEhgAJOASYXBx2X3Eb4NDm8ZTS68DfgQ8B2wB9UkrPVzlH0mr6nT+afuePzlyFJKmztXvPWER8hMpM180ppQcjYjAwv7h7HjCoCGuDqQQwWtw3GJjd4viW421qbGxob5l1xb50rNL185G/ANC3A+oq3XMrCftSnX1pzZ5UZ186RrvDWEppIjAxIq6NiK8ALwINwKtU9oe9klJaFhHN480GFMeuabxNs2fPb/ugOtPY2GBfOljZ+jnw9eUAzF3PunytVGdfqrMvrdmT6uxLdesSUNtcpoyIHSKi5XLiTCpLjrcAexRjexa3AW5uHi9mynYA7qay0X9RRGxW5RxJkqS61J6ZsSXAiIh4D9ALeAdwErAUGBcR21F5h+UogJTS/RExKSLGUHk35WkppVcBIuJY4IKIeAroAfyoo5+QJEnShqTNMJZSmkHl3ZPVfH4N51y4hvGHgRHtrk6qYys23yJ3CZKkGvCir1JJzf/+lblLkCTVgB+HJEmSlJFhTCqpfmefQb+zz8hdhiSpk7lMKZVUz8cfy12CJKkGnBmTJEnKyDAmSZKUkWFMkiQpI/eMSSW1fOi2uUuQJNWAYUwqqdcmXJq7BElSDbhMKUmSlJFhTCqp/iNPov/Ik3KXIUnqZC5TSiXVY8b03CVIkmrAmTFJkqSMDGOSJEkZGcYkSZIycs+YVFLLdtwpdwmSpBowjEklteD8cblLkCTVgMuUkiRJGRnGpJJq+PLnaPjy53KXIUnqZC5TSiXV/V/P5S5BklQDzoxJkiRlZBiTJEnKyDAmSZKUkXvGpJJatstuuUuQJNWAYUwqqQVnj85dgiSpBlymlCRJysgwJpXUgOOOZcBxx+YuQ5LUyVymlEqq2ysv5y5BklQDzoxJkiRlZBiTJEnKyDAmSZKUkXvGpJJ6/YN75y5BklQDhjGppBaOPCN3CZKkGnCZUpIkKSPDmFRSA485ioHHHJW7DElSJ3OZUiqrxYtzVyBJqgFnxiRJkjIyjEmSJGXU5jJlRAwFzgceAoYAc1JK50XEJsBY4ElgGHBWSumF4pzTgQHAIOCOlNKNxfi7gROAmcBgYFRKaVmHPytJkqQNRHv2jG0C/Dyl9DuAiPhbRNwCfB74Q0rplxFxGDAeGB4R7wf2TSkdHBG9gL9FxN3AXOA64ICU0vMRMQH4DHBVJzwvaYO39MMfzV2CJKkG2gxjKaUHVhvqDiwADgEuKMbuA35UfH0oMLk49/WI+DvwIWAq0Cel9HyLc47FMCZVteiEk3KXIEmqgbXaMxYRRwITU0pPUFlmnF/cNQ8YFBE9Vxtvvm/wG4xLkiTVrXZf2iIi9gX2BU4phl4EGoBXqewPeyWltCwimsebDSiOXdN4mxobG9o+qA7Zl45Vun7us0/lzz/9ab0fqnTPrSTsS3X2pTV7Up196RjtCmMRcQjwQeBkYPOIeBtwC7AH8AywZ3Eb4Gbg3OK8nsAOQPOesUURsVmxVNnynDc0e/b8tg+qM42NDfalg5WtnwNfXw7A3PWsy9dKdfalOvvSmj2pzr5Uty4BtT3vpnwf8AvgQWAS0A+4DDgLGBcR2wFDgVEAKaX7I2JSRIyh8m7K01JKrxaPdSxwQUQ8BfTg3/vMJEmS6lJ7NvD/Bei/hrs/v4ZzLlzD+MPAiHZXJ0mS1MV50VdJkqSM/GxKqaSWfOzI3CVIkmrAMCaV1OLjq+4CkCR1MS5TSmW1cGHlP0lSl+bMmFRSAz/5cQDm3nBr5kokSZ3JmTFJkqSMDGOSJEkZGcYkSZIyMoxJkiRl5AZ+qaQWH/Op3CVIkmrAMCaV1BLDmCTVBZcppZLqNmcO3ebMyV2GJKmTOTMmldSAEcMBrzMmSV2dM2OSJEkZOTMmFY4f+8cOfbyrz9yvQx9PktQ1OTMmSZKUkWFMkiQpI5cppZJa/NkRuUuQJNWAYUwqqSVHHJ27BElSDbhMKZVU91nP0n3Ws7nLkCR1MmfGpJJqOOELgNcZk6SuzpkxSZKkjAxjkiRJGRnGJEmSMjKMSZIkZeQGfqmkFn35xNwlSJJqwDAmldTSjxyUuwRJUg24TCmVVI/p0+gxfVruMiRJncyZMamk+o86GfA6Y5LU1TkzJkmSlJFhTJIkKSOXKdWm48f+MXcJkiR1Wc6MSZIkZeTMmFRSC089PXcJkqQaMIxJJfX63vvmLkGSVAMuU0ol1eOxR+nx2KO5y5AkdTJnxqSS6n/OmYDXGZOkrq70Yeywkb/rsMe6+sz9OuyxJEmSOoLLlJIkSRm1OTMWEZsB5wM7p5R2LcZ6A+OBWcAwYGxK6R/FfccC7wGWAzNSSlcU41sD5wDTga2BkSml1zr4+Uilsb7XZxvz9CsAnDX2j87qSlIX1p6Zsb2A3wHdWoydAjydUvoWcDFwFUBEDAFGAaNSSl8FPhcRw4pzfgBcUZzzOHBGxzwFSZKkDVebYSyldD0wf7XhQ4DJxf2PATtHxADgI8BfUkpNxXGTgYMiohewL/BAMX5f8RiS1uDavYZz7V7Dc5chSepk67qBfzCrBrR5xdiaxt8MLGoR0prHa6qxsaHW37JTdbXno1U9scX2K79e379rXyvV2Zfq7Etr9qQ6+9Ix1jWMvQi0/BsYUIy9CGy72vh04CWgT0R0KwJZ8/E1NXv26hN8G67GxoYu9XzU2vbPPQFUQllHvqsYfGcx+DO0JvalNXtSnX2pbl0C6rq+m/IWYA+AiNgJeCSlNA+YCLwvIpr3l+0B3JZSeh2YBOxajO9ZPIakNfj0vT/m0/f+OHcZkqRO1p53U+4NDAc2j4izgQnAd4Dxxe1tgREAKaVnI2I8cHFELAeuTClNKx7qS8A3IuJAYCvgtA5/NpLaZX3f6dmSs2yStH7aDGMppbuAu6rcdcIajr8OuK7K+D+B49eyPkmSpC7Ni75KkiRlZBiTJEnKqPSfTSnVqx/uMyJ3Ce3SkfvPwD1okuqPYUwqqZmDt8ldgiSpBlwqdnq+AAAG4ElEQVSmlEpq56ceYeenHsldhiSpkzkzJpXUf97/SwAeedvOmSuRJHUmw5ikUunoPWgdxb1skjqLy5SSJEkZGcYkSZIyMoxJkiRl5J4xqaQuO+AruUuQJNWAYUwqqVmbbJm7BElSDRjGpJLadcYUAB4YulvmSgR+0oCkzmMYk0rqyL/8DjCMSVJX5wZ+SZKkjAxjkiRJGblMKUkZdOQeNPefSRs2Z8YkSZIycmZMKqmLDjoldwnaQPhOT2nDZhjrosr6Yctqv5caGnOXIEmqAZcppZLaK93LXune3GVIkjqZM2NSSR38yG0A3Bt7Za5E9cY3F0i15cyYJElSRoYxSZKkjAxjkiRJGblnTJLUabzshtQ2w5hUUmMPOyN3CZKkGjCMSSU1r8+A3CVIkmrAMFYSXqRVq9t/6p0A3PnO/TNXIpWHl91QV+QGfqmk9p/6R/afakiXpK7OmTFJUl1ylk1l4cyYJElSRs6MSZK0nryEh9aHYUySpJJxCbW+GMbWg++AVGf65pHfyF2CpC7AWbvyq6swZnjShmRJr41ylyBJqoG6CmPShuTgh28F4NZ3H5y5EknqHM7aVRjGpJLa6x/3AYYxSeXiKlPHq3kYi4gDgKOAF4GmlNI3a12DJEnqejbUNz7UNIxFRF/gB8A7U0pLIuLXEbF/SunOWtYhSZL0RtY12N004fC1PqfWF33dA3gqpbSkuH0fcEiNa5AkSSqNWoexwcD8FrfnFWOSJEl1qdZ7xl4EGlrcHlCMrdFNEw7v1qkVSWVVTHXflLkMSVLnqvXM2GTgbRHRfAGlPYFbalyDJElSaXRramqq6TeMiA8DHwdmA6/7bkpJklTPah7GJEmS9G+1XqaUJElSC4YxSZKkjAxjkiRJGZX2syn92KSKiNgMOB/YOaW0azHWGxgPzAKGAWNTSv/IV2XtRcRQKn15CBgCzEkpnRcRmwBjgSep9OaslNIL+SqtnYjoTuVKGPcDbwKGAscDfajTnrQUEX2o9OaOlNIof44gIv4MLC5uLk8p7V/PP0PNIiKATwCLgL2B0VT+LToHmA5sDYxMKb2WqcSai4itgTuBZ4qhAcCjwGnU8eslIk6n8np4icrzH8E6/D+3lDNjLT426dSU0mjgXRGxf96qstkL+B3Q8nprpwBPp5S+BVwMXJWjsMw2AX6eUrowpXQycExEvA8YA/whpTQWuIHKP7b1ZHJK6byU0tlAXyq/0NR7T5qdD/y1xW1/juD2lNI+xX/N/4+t69dLRPQALgLOSymNo/KP60wq/yZdUbxeHgfOyFdlFvOBLza/Xqj84ncldfx6KSZLvgacmFI6F+jHOv4/t5RhDD82aaWU0vWs+qkFUOnF5OL+x4CdI2JArWvLKaX0QErpdy2GugMLaNEb6ux1k1JakVI6HyAielKZMUzUcU+aRcRwKs99Zovhuv85AnaKiDMiYnRENL8u6v31siuVX35PjIivAYcBrwL7Ag8Ux9RdX1JKc1JKfwAorhW6S0rpXur79bIQWEpllhCgPzCVdehJWcOYH5v0xuxPCxFxJDAxpfQEq/ZmHjCoCCZ1IyI+AtwM3JxSepA670lE7AC8I6X0m9Xu8ucIxhWzP/8NnBURH6LOXy/A26hMCFxTzIJ9CBgFLEopNV8Lqh5fKy19EvhZ8XXdvl5SSvOA04FfRMQ1wLNUlrHXuidlDWNr/bFJdcb+FCJiXyq/sZ5aDLXszQDglZTSshy15ZJSmphS+ijw9oj4CvbkSGBxRJxJZdl/t4g4BX+OSClNKf5cDtxD5Wep3l8v84AnUkpzi9v3AjsCfSKiebtI3b1WVvMfwC+Kr+v29RIR76YSxg5JKX2Wyr6xb7AOPSlrGPNjk97YLVR+cyMidgIeKRJ6XSmWVT4CnAxsFhF70KI31NnrJiJ2aLHUBJUluW2o454ApJQuKPbRjaXyD+uUlNIl1PnPUURsHxEjWgwNo/JbfV2/Xqi8yWPTYu8YVGbKpgKTqCxhQn32BVj5C/D/pZReL4bq+fWyJfByi6D1L6A369CT0l6B349NqoiIvYFPAx8Fvg9MKO4aT+UvfltgTB2+C+x9wF3Ag8VQP+Ay4EZgHPAUlXcTnlkv7+wp3mF6IZV3mPYC3gGcRGVPQ132pKWIOBo4gco7TS/j3xtr6/LnKCK2oNKHh6j89t6LyjvjNqbOXy/F1of9qPz7sxVwIvAWKrMeTxZjp9XTuymbRcTPqGxYf6m4vQl1+nopAvulVN6R/CqVGdRTgCWsZU9KG8YkSZLqQVmXKSVJkuqCYUySJCkjw5gkSVJGhjFJkqSMDGOSJEkZGcYkSZIyMoxJkiRlZBiTJEnK6P8D/69rypKZWGIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pvs = pv1 + pv2\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(pvs, bins=50, label='portfolio');\n",
    "plt.axvline(pvs.mean(), color='r', ls='dashed',\n",
    "            lw=1.5, label='mean = %4.2f' % pvs.mean())\n",
    "plt.xlim(0, 80); plt.ylim(0, 7000)\n",
    "plt.legend();\n",
    "# plt.savefig('../../images/ch20/dx_port_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16.723724772741118"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pvs.std()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21.80498672323975"
      ]
     },
     "execution_count": 138,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv1 = (5 * portfolio.valuation_objects['eur_call_pos'].\n",
    "            present_value(full=True)[1])\n",
    "pv2 = (3 * portfolio.valuation_objects['am_put_pos'].\n",
    "            present_value(full=True)[1])\n",
    "(pv1 + pv2).std()  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
